LCM for 48 and 84

What's the Least Common Multiple (LCM) of 48 and 84?

Answer: LCM of 48 and 84 is 336

(Three hundred thirty-six)

Finding LCM for 48 and 84 using GCF's of these numbers

The first method to find LCM for numbers 48 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 84 is 12, so

LCM = (48 × 84) ÷ 12

LCM = 4032 ÷ 12

LCM = 336

Finding LCM for 48 and 84 by Listing Multiples

The second method to find LCM for numbers 48 and 84 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432

Multiples of 84: 84, 168, 252, 336, 420, 504

So the LCM for 48 and 84 is 336

Finding LCM for 48 and 84 by Prime Factorization

Another method to find LCM for numbers 48 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

24 × 31 × 71 = 336

LCM Table

Number 1Number 2LCM
3384924
34841428
3584420
3684
37843108
38841596
39841092
4084840
41843444
428484
43843612
4484924
45841260
46841932
47843948
4884
4984588
50842100
51841428
52841092
53844452
5484756
55844620
5684
57841596
5884
59844956
6084
61845124
62842604

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 84? (The answer is: 336). Select the first number (e.g. '48') and the second number (e.g. '84'). 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 48 and 84?

LCM of 48 and 84 is 336