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LCM for 90 and 135

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 135?

Answer

LCM of 90 and 135 is 270

(Two hundred seventy)

Finding LCM for 90 and 135 using GCF of these numbers

The first method to find LCM for numbers 90 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 135 is 45, so

LCM = (90 × 135) ÷ 45

LCM = 12150 ÷ 45

LCM = 270

Finding LCM for 90 and 135 by Listing Multiples

The second method to find LCM for numbers 90 and 135 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

Multiples of 135: 135, 270, 405, 540

So the LCM for 90 and 135 is 270

Finding LCM for 90 and 135 by Prime Factorization

Another method to find LCM for numbers 90 and 135 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 135: 3, 3, 3, 5 (exponent form: 33, 51)

21 × 33 × 51 = 270

Related Calculations

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What is the LCM of 90 and 135?. Find the LCM of 90 and 135 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
75135675
7613510260
7713510395
781353510
7913510665
801352160
81135405
8213511070
8313511205
841353780
851352295
8613511610
871353915
8813511880
8913512015
90135270
9113512285
9213512420
931354185
9413512690
951352565
961354320
9713513095
9813513230
991351485
1001352700
10113513635
1021354590
10313513905
10413514040

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 135? (The answer is: 270). Select the first number (e.g. '90') and the second number (e.g. '135'). 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

FAQ

What's the Least Common Multiple (LCM) of 90 and 135?

LCM of 90 and 135 is 270

How to find the LCM of 90 and 135 using prime factorization?

To find the LCM of 90 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 135: LCM = 270, GCF = 45.

See Also