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

(Two hundred seventy)

Finding LCM for 54 and 90 using GCF of these numbers

The first method to find LCM for numbers 54 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 90 is 18, so

LCM = (54 × 90) ÷ 18

LCM = 4,860 ÷ 18

LCM = 270

Finding LCM for 54 and 90 by Listing Multiples

The second method to find LCM for numbers 54 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 54: 54, 108, 162, 216, 270, 324, 378

Multiples of 90: 90, 180, 270, 360, 450

So the LCM for 54 and 90 is 270

Finding LCM for 54 and 90 by Prime Factorization

Another method to find LCM for numbers 54 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

21 × 33 × 51 = 270

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 54 and 90? (The answer is: 270). Select the first number (e.g. '54') and the second number (e.g. '90'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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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.

See Also