LCM for 54 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 36?

Answer

LCM of 54 and 36 is 108

(One hundred eight)

Finding LCM for 54 and 36 using GCF of these numbers

The first method to find LCM for numbers 54 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 36 is 18, so

LCM = (54 × 36) ÷ 18

LCM = 1944 ÷ 18

LCM = 108

Finding LCM for 54 and 36 by Listing Multiples

The second method to find LCM for numbers 54 and 36 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 54: 54, 108, 162, 216

Multiples of 36: 36, 72, 108, 144, 180

So the LCM for 54 and 36 is 108

Finding LCM for 54 and 36 by Prime Factorization

Another method to find LCM for numbers 54 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)

22 × 33 = 108

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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 36? (The answer is: 108). Select the first number (e.g. '54') and the second number (e.g. '36'). 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

LCM Table

Number 1 Number 2 LCM
39 36 468
40 36 360
41 36 1476
42 36 252
43 36 1548
44 36 396
45 36 180
46 36 828
47 36 1692
48 36 144
49 36 1764
50 36 900
51 36 612
52 36 468
53 36 1908
54 36 108
55 36 1980
56 36 504
57 36 684
58 36 1044
59 36 2124
60 36 180
61 36 2196
62 36 1116
63 36 252
64 36 576
65 36 2340
66 36 396
67 36 2412
68 36 612

FAQ

What's the Least Common Multiple (LCM) of 54 and 36?
LCM of 54 and 36 is 108

How to find the LCM of 54 and 36 using prime factorization?
To find the LCM of 54 and 36, 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 54 and 36: LCM = 108, GCF = 18.

See Also