LCM for 48 and 12

What's the Least Common Multiple (LCM) of 48 and 12?

Answer: LCM of 48 and 12 is 48

(Forty-eight)

Finding LCM for 48 and 12 using GCF's of these numbers

The first method to find LCM for numbers 48 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 12 is 12, so

LCM = (48 × 12) ÷ 12

LCM = 576 ÷ 12

LCM = 48

Finding LCM for 48 and 12 by Listing Multiples

The second method to find LCM for numbers 48 and 12 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, [...], 48

Multiples of 12: 12, 24, 36, 48, 60, 72

So the LCM for 48 and 12 is 48

Finding LCM for 48 and 12 by Prime Factorization

Another method to find LCM for numbers 48 and 12 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 12: 2, 2, 3 (exponent form: 22, 31)

24 × 31 = 48

See Also

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 12? (The answer is: 48). Select the first number (e.g. '48') and the second number (e.g. '12'). 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

LCM Table

Number 1Number 2LCM
3312132
3412204
3512420
361236
3712444
3812228
3912156
4012120
4112492
421284
4312516
4412132
4512180
4612276
4712564
4812
4912588
5012300
5112204
5212156
5312636
5412108
5512660
5612168
5712228
5812348
5912708
601260
6112732
6212372

FAQ

What's the Least Common Multiple (LCM) of 48 and 12?

LCM of 48 and 12 is 48