LCM for 36 and 162

What's the Least Common Multiple (LCM) of 36 and 162?

Answer: LCM of 36 and 162 is 324

(Three hundred twenty-four)

Finding LCM for 36 and 162 using GCF's of these numbers

The first method to find LCM for numbers 36 and 162 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 162 is 18, so

LCM = (36 × 162) ÷ 18

LCM = 5832 ÷ 18

LCM = 324

Finding LCM for 36 and 162 by Listing Multiples

The second method to find LCM for numbers 36 and 162 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396

Multiples of 162: 162, 324, 486, 648

So the LCM for 36 and 162 is 324

Finding LCM for 36 and 162 by Prime Factorization

Another method to find LCM for numbers 36 and 162 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 162: 2, 3, 3, 3, 3 (exponent form: 21, 34)

22 × 34 = 324

Related Calculations

LCM Table

Number 1Number 2LCM
211621134
221621782
231623726
24162648
251624050
261622106
27162162
281622268
291624698
30162810
311625022
321622592
331621782
341622754
351625670
36162
371625994
381623078
391622106
401623240
411626642
421621134
431626966
441623564
45162810
461623726
471627614
481621296
491627938
501624050

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 36 and 162? (The answer is: 324). Select the first number (e.g. '36') 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

FAQ

What's the Least Common Multiple (LCM) of 36 and 162?

LCM of 36 and 162 is 324