LCM for 48 and 12

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 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 numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144

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

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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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
48148
48248
48348
48448
485240
48648
487336
48848
489144
4810240
4811528
481248
4813624
4814336
4815240
481648
4817816
4818144
4819912
4820240
4821336
4822528
48231104
482448
48251200
4826624
4827432
4828336
48291392
4830240

FAQ

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

LCM of 48 and 12 is 48

How to find the LCM of 48 and 12 using prime factorization?

To find the LCM of 48 and 12, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 48.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 12: LCM = 48, GCF = 12.

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