LCM for 48 and 32

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 48 and 32?

Answer

LCM of 48 and 32 is 96

(Ninety-six)

Finding LCM for 48 and 32 using GCF of these numbers

The first method to find LCM for numbers 48 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 32 is 16, so

LCM = (48 × 32) ÷ 16

LCM = 1536 ÷ 16

LCM = 96

Finding LCM for 48 and 32 by Listing Multiples

The second method to find LCM for numbers 48 and 32 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192

Multiples of 32: 32, 64, 96, 128, 160

So the LCM for 48 and 32 is 96

Finding LCM for 48 and 32 by Prime Factorization

Another method to find LCM for numbers 48 and 32 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

25 × 31 = 96

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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 48 and 32? (The answer is: 96). Select the first number (e.g. '48') and the second number (e.g. '32'). 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 1Number 2LCM
33321056
3432544
35321120
3632288
37321184
3832608
39321248
4032160
41321312
4232672
43321376
4432352
45321440
4632736
47321504
483296
49321568
5032800
51321632
5232416
53321696
5432864
55321760
5632224
57321824
5832928
59321888
6032480
61321952
6232992

FAQ

What's the Least Common Multiple (LCM) of 48 and 32?

LCM of 48 and 32 is 96

How to find the LCM of 48 and 32 using prime factorization?

To find the LCM of 48 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 96.

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 48 and 32: LCM = 96, GCF = 16.

See Also