What is the LCM of 32 and 48?

"Least Common Multiple" Calculator

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

Answer: LCM of 32 and 48 is 96

(Ninety-six)

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

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 48 is 16, so

LCM = (32 × 48) ÷ 16

LCM = 1536 ÷ 16

LCM = 96

Finding LCM for 32 and 48 by Listing Multiples

The second method to find LCM for numbers 32 and 48 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 48: 48, 96, 144, 192

So the LCM for 32 and 48 is 96

Finding LCM for 32 and 48 by Prime Factorization

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

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

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

2⁵ × 3¹ = 96

Related Calculations

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 32 and 48? (The answer is: 96). Select the first number (e.g. '32') and the second number (e.g. '48'). 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

LCM Table

Number 1	Number 2	LCM
17	48	816
18	48	144
19	48	912
20	48	240
21	48	336
22	48	528
23	48	1104
24	48	48
25	48	1200
26	48	624
27	48	432
28	48	336
29	48	1392
30	48	240
31	48	1488
32	48	96
33	48	528
34	48	816
35	48	1680
36	48	144
37	48	1776
38	48	912
39	48	624
40	48	240
41	48	1968
42	48	336
43	48	2064
44	48	528
45	48	720
46	48	1104

LCM for 32 and 48

"Least Common Multiple" Calculator

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

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

Finding LCM for 32 and 48 by Listing Multiples

Finding LCM for 32 and 48 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 32 and 48?

See Also