What is the LCM of 32 and 120?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 120?

Answer: LCM of 32 and 120 is 480

(Four hundred eighty)

Finding LCM for 32 and 120 using GCF's of these numbers

The first method to find LCM for numbers 32 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 120 is 8, so

LCM = (32 × 120) ÷ 8

LCM = 3840 ÷ 8

LCM = 480

Finding LCM for 32 and 120 by Listing Multiples

The second method to find LCM for numbers 32 and 120 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544

Multiples of 120: 120, 240, 360, 480, 600, 720

So the LCM for 32 and 120 is 480

Finding LCM for 32 and 120 by Prime Factorization

Another method to find LCM for numbers 32 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 2³, 3¹, 5¹)

2⁵ × 3¹ × 5¹ = 480

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 120? (The answer is: 480). Select the first number (e.g. '32') and the second number (e.g. '120'). 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	120	2040
18	120	360
19	120	2280
20	120	120
21	120	840
22	120	1320
23	120	2760
24	120	120
25	120	600
26	120	1560
27	120	1080
28	120	840
29	120	3480
30	120	120
31	120	3720
32	120	480
33	120	1320
34	120	2040
35	120	840
36	120	360
37	120	4440
38	120	2280
39	120	1560
40	120	120
41	120	4920
42	120	840
43	120	5160
44	120	1320
45	120	360
46	120	2760

LCM for 32 and 120

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 32 and 120?

Finding LCM for 32 and 120 using GCF's of these numbers

Finding LCM for 32 and 120 by Listing Multiples

Finding LCM for 32 and 120 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 32 and 120?

See Also