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LCM for 4 and 54

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer

LCM of 4 and 54 is 108

(One hundred eight)

Finding LCM for 4 and 54 using GCF of these numbers

The first method to find LCM for numbers 4 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 54 is 2, so

LCM = (4 × 54) ÷ 2

LCM = 216 ÷ 2

LCM = 108

Finding LCM for 4 and 54 by Listing Multiples

The second method to find LCM for numbers 4 and 54 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116

Multiples of 54: 54, 108, 162, 216

So the LCM for 4 and 54 is 108

Finding LCM for 4 and 54 by Prime Factorization

Another method to find LCM for numbers 4 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

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

22 × 33 = 108

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What is the LCM of 4 and 54?. The LCM of 4 and 54 is 108 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
41352
41428
41560
41616
41768
41836
41976
42020
42184
42424
425100
42652
429116
43060
435140
43636
43876
44040
443172
44444
445180
44692
447188
44848
450100
451204
454108
455220
459236
46060

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 4 and 54? (The answer is: 108). Select the first number (e.g. '4') and the second number (e.g. '54'). 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

Least Common Multiple of

and

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