# [seqfan] Re: LCM of sums of digits

Thu Jun 6 05:44:19 CEST 2019

```An upper bound on such numbers is 12252240, the lcm of all numbers 2 through 18. In fact, any number with this property must be a divisor of 12252240. There are 480 such numbers, so the problem is easily computable. I'm feeling a bit too lazy to do it now; Harvey should be able to do it quickly.

-----Original Message-----
From: Harvey P. Dale <hpd at hpdale.org>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Wed, Jun 5, 2019 9:43 pm
Subject: [seqfan] Re: LCM of sums of digits

No additional terms up to 10^7.
Best,
Harvey

-----Original Message-----
From: SeqFan <seqfan-bounces at list.seqfan.eu> On Behalf Of Éric Angelini
Sent: Wednesday, June 5, 2019 6:05 PM
To: Sequence Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] LCM of sums of digits

Hello SeqFans,
Jean-Marc Falcoz discovered the
integer 32760 that has a  nice property.
Make all possible sums of two digits:
3+2=5
3+7=10
3+6=9
3+0=3
2+7=9
2+6=8
2+0=2
7+6=13
7+0=7
6+0=6
The LCM of all those sums is 32760 itself.
Are there more integers like this?
Best,
É.

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