LCM for 8 and 72

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 8 and 72?

Answer

LCM of 8 and 72 is
72

(Seventy-two)

Finding LCM for 8 and 72 using GCF of these numbers

The first method to find LCM for numbers 8 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 72 is 8, so

LCM = (8 × 72) ÷ 8

LCM = 576 ÷ 8

LCM = 72

Finding LCM for 8 and 72 by Listing Multiples

The second method to find LCM for numbers 8 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 72: 72, 144, 216

So the LCM for 8 and 72 is 72

Finding LCM for 8 and 72 by Prime Factorization

Another method to find LCM for numbers 8 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

23 × 32 = 72

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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 8 and 72? (The answer is: 72). Select the first number (e.g. '8') 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
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
84848
849392
851408
852104
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200
8120120
81,0001,000

FAQ

What's the Least Common Multiple (LCM) of 8 and 72?

LCM of 8 and 72 is 72

How to find the LCM of 8 and 72 using prime factorization?

To find the LCM of 8 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 8 and 72: LCM = 72, GCF = 8.

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