LCM for 49 and 60

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 49 and 60?

Answer

LCM of 49 and 60 is
2,940

First common multiples: 2,940; 5,880; 8,820; …

2,940 is divisible by both: 2,940 ÷ 49 = 60; 2,940 ÷ 60 = 49 — and 60 and 49 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/49 by 60 and of y/60 by 49.

49 and 60 are coprime (GCF = 1), so their LCM is simply the product: 49 × 60 = 2,940.

49 = 72

60 = 22 × 3 × 5

Prime4960Highest power
2—2222
3—33
5—55
772—72

— = 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 × 72 = 2,940

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
49452,205
49462,254
49472,303
49482,352
494949
49502,450
49512,499
49522,548
49532,597
49542,646
49552,695
4956392
49572,793
49582,842
49592,891
49602,940
49612,989
49623,038
4963441
49643,136
49653,185
49663,234
49673,283
49683,332
49693,381
4970490
49713,479
49723,528
49733,577
49743,626

FAQ

What's the Least Common Multiple (LCM) of 49 and 60?

LCM of 49 and 60 is 2,940

How to find the LCM of 49 and 60 using prime factorization?

To find the LCM of 49 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,940.

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 49 and 60: LCM = 2,940, GCF = 1.

See Also