LCM for 16 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 16 and 36?

Answer

LCM of 16 and 36 is 144

(One hundred forty-four)

Finding LCM for 16 and 36 using GCF of these numbers

The first method to find LCM for numbers 16 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 36 is 4, so

LCM = (16 × 36) ÷ 4

LCM = 576 ÷ 4

LCM = 144

Finding LCM for 16 and 36 by Listing Multiples

The second method to find LCM for numbers 16 and 36 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176

Multiples of 36: 36, 72, 108, 144, 180, 216

So the LCM for 16 and 36 is 144

Finding LCM for 16 and 36 by Prime Factorization

Another method to find LCM for numbers 16 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

24 × 32 = 144

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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 16 and 36? (The answer is: 144). Select the first number (e.g. '16') and the second number (e.g. '36'). 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
13636
23636
33636
43636
536180
63636
736252
83672
93636
1036180
1136396
123636
1336468
1436252
1536180
1636144
1736612
183636
1936684
2036180
2136252
2236396
2336828
243672
2536900
2636468
2736108
2836252
29361044
3036180

FAQ

What's the Least Common Multiple (LCM) of 16 and 36?

LCM of 16 and 36 is 144

How to find the LCM of 16 and 36 using prime factorization?

To find the LCM of 16 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 144.

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 16 and 36: LCM = 144, GCF = 4.

See Also