What is the LCM of 48 and 32?

"Least Common Multiple" Calculator

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's 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 nubmers and pick the first which matching:

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

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LCM Table

Number 1	Number 2	LCM
33	32	1056
34	32	544
35	32	1120
36	32	288
37	32	1184
38	32	608
39	32	1248
40	32	160
41	32	1312
42	32	672
43	32	1376
44	32	352
45	32	1440
46	32	736
47	32	1504
48	32	96
49	32	1568
50	32	800
51	32	1632
52	32	416
53	32	1696
54	32	864
55	32	1760
56	32	224
57	32	1824
58	32	928
59	32	1888
60	32	480
61	32	1952
62	32	992

LCM for 48 and 32

"Least Common Multiple" Calculator

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

Finding LCM for 48 and 32 using GCF's of these numbers

Finding LCM for 48 and 32 by Listing Multiples

Finding LCM for 48 and 32 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

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