LCM for 23 and 60

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What's the Least Common Multiple (LCM) of 23 and 60?

Answer

LCM of 23 and 60 is
1,380

First common multiples: 1,380; 2,760; 4,140; …

1,380 is divisible by both: 1,380 ÷ 23 = 60; 1,380 ÷ 60 = 23 — and 60 and 23 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/23 by 60 and of y/60 by 23.

23 and 60 are coprime (GCF = 1), so their LCM is simply the product: 23 × 60 = 1,380.

23 — prime

60 = 22 × 3 × 5

Prime2360Highest power
2—2222
3—33
5—55
2323—23

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

LCM = 22 × 3 × 5 × 23 = 1,380

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LCM Table

Number 1Number 2LCM
2324552
2326598
2328644
2329667
2333759
2335805
2336828
2338874
2339897
2340920
2342966
2343989
23451,035
234646
23501,150
23511,173
23521,196
23541,242
23571,311
23601,380
239292
231002,300

FAQ

What's the Least Common Multiple (LCM) of 23 and 60?

LCM of 23 and 60 is 1,380

How to find the LCM of 23 and 60 using prime factorization?

To find the LCM of 23 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,380.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 23 and 60: LCM = 1,380, GCF = 1.

See Also