LCM for 72 and 162

What's the Least Common Multiple (LCM) of 72 and 162?

Answer: LCM of 72 and 162 is 648

(Six hundred forty-eight)

Finding LCM for 72 and 162 using GCF's of these numbers

The first method to find LCM for numbers 72 and 162 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 162 is 18, so

LCM = (72 × 162) ÷ 18

LCM = 11664 ÷ 18

LCM = 648

Finding LCM for 72 and 162 by Listing Multiples

The second method to find LCM for numbers 72 and 162 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 162: 162, 324, 486, 648, 810, 972

So the LCM for 72 and 162 is 648

Finding LCM for 72 and 162 by Prime Factorization

Another method to find LCM for numbers 72 and 162 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 162: 2, 3, 3, 3, 3 (exponent form: 21, 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 162? (The answer is: 648). Select the first number (e.g. '72') and the second number (e.g. '162'). 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
571623078
581624698
591629558
601621620
611629882
621625022
631621134
641625184
6516210530
661621782
6716210854
681625508
691623726
701625670
7116211502
72162
7316211826
741625994
751624050
761626156
7716212474
781622106
7916212798
801626480
81162162
821626642
8316213446
841622268
8516213770
861626966

FAQ

What's the Least Common Multiple (LCM) of 72 and 162?

LCM of 72 and 162 is 648