LCM for 4 and 54

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What's the Least Common Multiple (LCM) of 4 and 54?

Answer

LCM of 4 and 54 is
108

First common multiples: 108, 216, 324, …

108 is divisible by both: 108 ÷ 4 = 27, 108 ÷ 54 = 2 — and 27 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/4 by 27 and of y/54 by 2.

4 = 22

54 = 2 × 33

Prime454Highest power
222222
3—3333

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

LCM = 22 × 33 = 108

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LCM Table

Number 1Number 2LCM
41976
42020
42184
42424
425100
42652
42828
429116
43060
433132
435140
43636
43876
44040
443172
44444
445180
44692
447188
44848
450100
451204
454108
455220
459236
46060
48080
481324
4120120
41,0001,000

FAQ

What's the Least Common Multiple (LCM) of 4 and 54?

LCM of 4 and 54 is 108

How to find the LCM of 4 and 54 using prime factorization?

To find the LCM of 4 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 108.

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 4 and 54: LCM = 108, GCF = 2.

See Also