LCM for 90 and 165

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Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 165?

Answer

LCM of 90 and 165 is 990

(Nine hundred ninety)

Finding LCM for 90 and 165 using GCF of these numbers

The first method to find LCM for numbers 90 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 165 is 15, so

LCM = (90 × 165) ÷ 15

LCM = 14850 ÷ 15

LCM = 990

Finding LCM for 90 and 165 by Listing Multiples

The second method to find LCM for numbers 90 and 165 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170

Multiples of 165: 165, 330, 495, 660, 825, 990, 1155, 1320

So the LCM for 90 and 165 is 990

Finding LCM for 90 and 165 by Prime Factorization

Another method to find LCM for numbers 90 and 165 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 165: 3, 5, 11 (exponent form: 31, 51, 111)

21 × 32 × 51 × 111 = 990

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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 165? (The answer is: 990). Select the first number (e.g. '90') and the second number (e.g. '165'). 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
75165825
7616512540
771651155
781654290
7916513035
801652640
811654455
8216513530
8316513695
841654620
851652805
8616514190
871654785
881651320
8916514685
90165990
9116515015
9216515180
931655115
9416515510
951653135
961655280
9716516005
9816516170
99165495
1001653300
10116516665
1021655610
10316516995
10416517160

FAQ

What's the Least Common Multiple (LCM) of 90 and 165?

LCM of 90 and 165 is 990

How to find the LCM of 90 and 165 using prime factorization?

To find the LCM of 90 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 990.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 90 and 165: LCM = 990, GCF = 15.

See Also