LCM for 72 and 234

What's the Least Common Multiple (LCM) of 72 and 234?

Answer: LCM of 72 and 234 is 936

(Nine hundred thirty-six)

Finding LCM for 72 and 234 using GCF's of these numbers

The first method to find LCM for numbers 72 and 234 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 234 is 18, so

LCM = (72 × 234) ÷ 18

LCM = 16848 ÷ 18

LCM = 936

Finding LCM for 72 and 234 by Listing Multiples

The second method to find LCM for numbers 72 and 234 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, 864, 936, 1008, 1080

Multiples of 234: 234, 468, 702, 936, 1170, 1404

So the LCM for 72 and 234 is 936

Finding LCM for 72 and 234 by Prime Factorization

Another method to find LCM for numbers 72 and 234 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 234: 2, 3, 3, 13 (exponent form: 21, 32, 131)

23 × 32 × 131 = 936

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 234? (The answer is: 936). Select the first number (e.g. '72') and the second number (e.g. '234'). 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

LCM Table

Number 1Number 2LCM
572344446
582346786
5923413806
602342340
6123414274
622347254
632341638
642347488
652341170
662342574
6723415678
682347956
692345382
702348190
7123416614
72234
7323417082
742348658
752345850
762348892
7723418018
78234234
7923418486
802349360
812342106
822349594
8323419422
842343276
8523419890
8623410062

FAQ

What's the Least Common Multiple (LCM) of 72 and 234?

LCM of 72 and 234 is 936