LCM for 12 and 16

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 12 and 16?

Answer

LCM of 12 and 16 is 48

(Forty-eight)

Finding LCM for 12 and 16 using GCF of these numbers

The first method to find LCM for numbers 12 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 16 is 4, so

LCM = (12 × 16) ÷ 4

LCM = 192 ÷ 4

LCM = 48

Finding LCM for 12 and 16 by Listing Multiples

The second method to find LCM for numbers 12 and 16 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 16: 16, 32, 48, 64, 80

So the LCM for 12 and 16 is 48

Finding LCM for 12 and 16 by Prime Factorization

Another method to find LCM for numbers 12 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

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 12 and 16? (The answer is: 48). Select the first number (e.g. '12') and the second number (e.g. '16'). 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
11616
21616
31648
41616
51680
61648
716112
81616
916144
101680
1116176
121648
1316208
1416112
1516240
161616
1716272
1816144
1916304
201680
2116336
2216176
2316368
241648
2516400
2616208
2716432
2816112
2916464
3016240

FAQ

What's the Least Common Multiple (LCM) of 12 and 16?

LCM of 12 and 16 is 48

How to find the LCM of 12 and 16 using prime factorization?

To find the LCM of 12 and 16, 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 12 and 16: LCM = 48, GCF = 4.

See Also