LCM for 62, 93 and 120

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What's the Least Common Multiple (LCM) of 62, 93 and 120?

Answer

LCM of 62, 93 and 120 is
3,720

First common multiples: 3,720; 7,440; 11,160; …

3,720 is divisible by all three: 3,720 ÷ 62 = 60; 3,720 ÷ 93 = 40; 3,720 ÷ 120 = 31 — and 60, 40 and 31 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/62 by 60 and of y/93 by 40 and of z/120 by 31.

62 = 2 × 31

93 = 3 × 31

120 = 23 × 3 × 5

Prime6293120Highest power
22—2323
3—333
5——55
313131—31

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 3 × 5 × 31 = 3,720

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LCM Table

1st2nd3rdLCM
62931056,510
62931069,858
629310719,902
62931083,348
629310920,274
629311010,230
62931116,882
629311210,416
629311321,018
62931143,534
629311521,390
629311610,788
62931177,254
629311810,974
629311922,134
62931203,720
629312122,506
629312211,346
62931237,626
6293124372
629312523,250
62931263,906
629312723,622
629312811,904
62931297,998
629313012,090
629313124,366
62931324,092
629313324,738
629313412,462

FAQ

What's the Least Common Multiple (LCM) of 62, 93 and 120?

LCM of 62, 93 and 120 is 3,720

How to find the LCM of 62, 93 and 120 by prime factorization?

Take every prime that appears in 62, 93 and 120 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 31 = 3,720.

Can you get the LCM of 62, 93 and 120 two numbers at a time?

Yes. The LCM of 62 and 93 is 186, and the LCM of 186 and 120 is 3,720 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 3,720 divisible by 62, 93 and 120?

Yes, and by definition it is the smallest positive integer that is: 3,720 ÷ 62, 3,720 ÷ 93 and 3,720 ÷ 120 all come out whole. Any other common multiple of 62, 93 and 120 is a multiple of 3,720.

See Also