LCM for 54 and 72

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 54 and 72?

Answer

LCM of 54 and 72 is
216

First common multiples: 216, 432, 648, …

216 is divisible by both: 216 ÷ 54 = 4, 216 ÷ 72 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 4 and of y/72 by 3.

54 = 2 × 33

72 = 23 × 32

Prime5472Highest power
222323
3333233

LCM = 23 × 33 = 216

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
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
54713,834
5472216
54733,942
54741,998
54751,350
54762,052
54774,158
5478702
54794,266
54802,160
5481162
54822,214
54834,482
5484756
54854,590
54862,322

FAQ

What's the Least Common Multiple (LCM) of 54 and 72?

LCM of 54 and 72 is 216

How to find the LCM of 54 and 72 using prime factorization?

To find the LCM of 54 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

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 72: LCM = 216, GCF = 18.

See Also