LCM for 48 and 72

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 48 and 72?

Answer

LCM of 48 and 72 is 144

(One hundred forty-four)

Finding LCM for 48 and 72 using GCF of these numbers

The first method to find LCM for numbers 48 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 72 is 24, so

LCM = (48 × 72) ÷ 24

LCM = 3456 ÷ 24

LCM = 144

Finding LCM for 48 and 72 by Listing Multiples

The second method to find LCM for numbers 48 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240

Multiples of 72: 72, 144, 216, 288

So the LCM for 48 and 72 is 144

Finding LCM for 48 and 72 by Prime Factorization

Another method to find LCM for numbers 48 and 72 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 72: 2, 2, 2, 3, 3 (exponent form: 23, 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 48 and 72? (The answer is: 144). Select the first number (e.g. '48') and the second number (e.g. '72'). 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
3372792
34721224
35722520
367272
37722664
38721368
3972936
4072360
41722952
4272504
43723096
4472792
4572360
46721656
47723384
4872144
49723528
50721800
51721224
5272936
53723816
5472216
55723960
5672504
57721368
58722088
59724248
6072360
61724392
62722232

FAQ

What's the Least Common Multiple (LCM) of 48 and 72?

LCM of 48 and 72 is 144

How to find the LCM of 48 and 72 using prime factorization?

To find the LCM of 48 and 72, 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 48 and 72: LCM = 144, GCF = 24.

See Also