LCM for 54 and 56

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 54 and 56?

Answer

LCM of 54 and 56 is
1,512

First common multiples: 1,512; 3,024; 4,536; …

1,512 is divisible by both: 1,512 ÷ 54 = 28; 1,512 ÷ 56 = 27 — and 28 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 28 and of y/56 by 27.

54 = 2 × 33

56 = 23 × 7

Prime5456Highest power
222323
333—33
7—77

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

LCM = 23 × 33 × 7 = 1,512

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
54412,214
5442378
54432,322
54441,188
5445270
54461,242
54472,538
5448432
54492,646
54501,350
5451918
54521,404
54532,862
545454
54552,970
54561,512
54571,026
54581,566
54593,186
5460540
54613,294
54621,674
5463378
54641,728
54653,510
5466594
54673,618
54681,836
54691,242
54701,890

FAQ

What's the Least Common Multiple (LCM) of 54 and 56?

LCM of 54 and 56 is 1,512

How to find the LCM of 54 and 56 using prime factorization?

To find the LCM of 54 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,512.

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 54 and 56: LCM = 1,512, GCF = 2.

See Also