LCM for 32 and 120

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

LCM Table

Number 1Number 2LCM
171202040
18120360
191202280
20120120
21120840
221201320
231202760
24120120
25120600
261201560
271201080
28120840
291203480
30120120
311203720
32120480
331201320
341202040
35120840
36120
371204440
381202280
391201560
40120120
411204920
42120840
431205160
441201320
45120
461202760

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

FAQ

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

LCM of 32 and 120 is 480