LCM for 14 and 60

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What's the Least Common Multiple (LCM) of 14 and 60?

Answer

LCM of 14 and 60 is
420

First common multiples: 420; 840; 1,260; …

420 is divisible by both: 420 ÷ 14 = 30, 420 ÷ 60 = 7 — and 30 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 30 and of y/60 by 7.

14 = 2 × 7

60 = 22 × 3 × 5

Prime1460Highest power
222222
3—33
5—55
77—7

— = 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 × 7 = 420

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LCM Table

Number 1Number 2LCM
1416112
1417238
1418126
1419266
1420140
142142
1422154
1423322
1424168
1425350
1426182
1427378
142828
1430210
1432224
143570
1439546
1441574
144242
1444308
1445630
144998
1455770
1457798
1458406
1460420
1463126
148484
14105210
14217434

FAQ

What's the Least Common Multiple (LCM) of 14 and 60?

LCM of 14 and 60 is 420

How to find the LCM of 14 and 60 using prime factorization?

To find the LCM of 14 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 14 and 60: LCM = 420, GCF = 2.

See Also