LCM for 54 and 90

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What's the Least Common Multiple (LCM) of 54 and 90?

Answer

LCM of 54 and 90 is
270

First common multiples: 270, 540, 810, …

270 is divisible by both: 270 ÷ 54 = 5, 270 ÷ 90 = 3 — and 5 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 5 and of y/90 by 3.

54 = 2 × 33

90 = 2 × 32 × 5

Prime5490Highest power
2222
3333233
5—55

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

LCM = 2 × 33 × 5 = 270

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LCM Table

Number 1Number 2LCM
54751,350
54762,052
54774,158
5478702
54794,266
54802,160
5481162
54822,214
54834,482
5484756
54854,590
54862,322
54871,566
54882,376
54894,806
5490270
54914,914
54922,484
54931,674
54942,538
54955,130
5496864
54975,238
54982,646
5499594
541002,700
541015,454
54102918
541035,562
541042,808

FAQ

What's the Least Common Multiple (LCM) of 54 and 90?

LCM of 54 and 90 is 270

How to find the LCM of 54 and 90 using prime factorization?

To find the LCM of 54 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 90: LCM = 270, GCF = 18.

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