LCM for 12 and 72

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 12 and 72?

Answer

LCM of 12 and 72 is
72

(Seventy-two)

Finding LCM for 12 and 72 using GCF of these numbers

The first method to find LCM for numbers 12 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 72 is 12, so

LCM = (12 × 72) ÷ 12

LCM = 864 ÷ 12

LCM = 72

Finding LCM for 12 and 72 by Listing Multiples

The second method to find LCM for numbers 12 and 72 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, 84, 96

Multiples of 72: 72, 144, 216

So the LCM for 12 and 72 is 72

Finding LCM for 12 and 72 by Prime Factorization

Another method to find LCM for numbers 12 and 72 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 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 12 and 72? (The answer is: 72). Select the first number (e.g. '12') 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
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LCM Table

Number 1Number 2LCM
1226156
1227108
122884
1229348
123060
1231372
123296
1233132
1235420
123636
1239156
1240120
124284
1244132
1245180
1246276
124848
1250300
1252156
1255660
1257228
1258348
126060
1266132
1268204
127272
1276228
1278156
12100300
12300300

FAQ

What's the Least Common Multiple (LCM) of 12 and 72?

LCM of 12 and 72 is 72

How to find the LCM of 12 and 72 using prime factorization?

To find the LCM of 12 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 12 and 72: LCM = 72, GCF = 12.

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