LCM for 18 and 72

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 72?

Answer

LCM of 18 and 72 is
72

(Seventy-two)

Finding LCM for 18 and 72 using GCF of these numbers

The first method to find LCM for numbers 18 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 72 is 18, so

LCM = (18 × 72) ÷ 18

LCM = 1296 ÷ 18

LCM = 72

Finding LCM for 18 and 72 by Listing Multiples

The second method to find LCM for numbers 18 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108

Multiples of 72: 72, 144, 216

So the LCM for 18 and 72 is 72

Finding LCM for 18 and 72 by Prime Factorization

Another method to find LCM for numbers 18 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

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 18 and 72? (The answer is: 72). Select the first number (e.g. '18') 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
1821126
1822198
182472
1825450
1826234
182754
1828252
183090
1831558
1832288
1833198
1835630
183636
1837666
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591062
1860180
187272
1881162

FAQ

What's the Least Common Multiple (LCM) of 18 and 72?

LCM of 18 and 72 is 72

How to find the LCM of 18 and 72 using prime factorization?

To find the LCM of 18 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 18 and 72: LCM = 72, GCF = 18.

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