LCM for 54 and 81

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What's the Least Common Multiple (LCM) of 54 and 81?

Answer

LCM of 54 and 81 is
162

First common multiples: 162, 324, 486, …

162 is divisible by both: 162 ÷ 54 = 3, 162 ÷ 81 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 3 and of y/81 by 2.

54 = 2 × 33

81 = 34

Prime5481Highest power
22—2
3333434

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

LCM = 2 × 34 = 162

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LCM Table

Number 1Number 2LCM
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
54871,566
54882,376
54894,806
5490270
54914,914
54922,484
54931,674
54942,538
54955,130

FAQ

What's the Least Common Multiple (LCM) of 54 and 81?

LCM of 54 and 81 is 162

How to find the LCM of 54 and 81 using prime factorization?

To find the LCM of 54 and 81, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 162.

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 81: LCM = 162, GCF = 27.

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