LCM for 90 and 162

What's the Least Common Multiple (LCM) of 90 and 162?

Answer: LCM of 90 and 162 is 810

(Eight hundred ten)

Finding LCM for 90 and 162 using GCF's of these numbers

The first method to find LCM for numbers 90 and 162 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 162 is 18, so

LCM = (90 × 162) ÷ 18

LCM = 14580 ÷ 18

LCM = 810

Finding LCM for 90 and 162 by Listing Multiples

The second method to find LCM for numbers 90 and 162 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990

Multiples of 162: 162, 324, 486, 648, 810, 972, 1134

So the LCM for 90 and 162 is 810

Finding LCM for 90 and 162 by Prime Factorization

Another method to find LCM for numbers 90 and 162 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

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

21 × 34 × 51 = 810

Related Calculations

LCM Table

Number 1Number 2LCM
751624050
761626156
7716212474
781622106
7916212798
801626480
81162162
821626642
8316213446
841622268
8516213770
861626966
871624698
881627128
8916214418
90162
9116214742
921627452
931625022
941627614
9516215390
961622592
9716215714
981627938
991621782
1001628100
10116216362
1021622754
10316216686
1041628424

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 90 and 162? (The answer is: 810). Select the first number (e.g. '90') 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 90 and 162?

LCM of 90 and 162 is 810