LCM for 72 and 324

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 324?

Answer: LCM of 72 and 324 is 648

(Six hundred forty-eight)

Finding LCM for 72 and 324 using GCF's of these numbers

The first method to find LCM for numbers 72 and 324 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 324 is 36, so

LCM = (72 × 324) ÷ 36

LCM = 23328 ÷ 36

LCM = 648

Finding LCM for 72 and 324 by Listing Multiples

The second method to find LCM for numbers 72 and 324 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792

Multiples of 324: 324, 648, 972, 1296

So the LCM for 72 and 324 is 648

Finding LCM for 72 and 324 by Prime Factorization

Another method to find LCM for numbers 72 and 324 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 324: 2, 2, 3, 3, 3, 3 (exponent form: 22, 34)

23 × 34 = 648

See Also

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 72 and 324? (The answer is: 648). Select the first number (e.g. '72') and the second number (e.g. '324'). 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
573246156
583249396
5932419116
603241620
6132419764
6232410044
633242268
643245184
6532421060
663243564
6732421708
683245508
693247452
7032411340
7132423004
72324648
7332423652
7432411988
753248100
763246156
7732424948
783244212
7932425596
803246480
81324324
8232413284
8332426892
843242268
8532427540
8632413932

FAQ

What's the Least Common Multiple (LCM) of 72 and 324?

LCM of 72 and 324 is 648

See Also