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LCM for 90 and 315

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 315?

Answer

LCM of 90 and 315 is 630

(Six hundred thirty)

Finding LCM for 90 and 315 using GCF of these numbers

The first method to find LCM for numbers 90 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 315 is 45, so

LCM = (90 × 315) ÷ 45

LCM = 28350 ÷ 45

LCM = 630

Finding LCM for 90 and 315 by Listing Multiples

The second method to find LCM for numbers 90 and 315 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

Multiples of 315: 315, 630, 945, 1260

So the LCM for 90 and 315 is 630

Finding LCM for 90 and 315 by Prime Factorization

Another method to find LCM for numbers 90 and 315 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 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

21 × 32 × 51 × 71 = 630

Related Calculations

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What is the LCM of 90 and 315?. Find the LCM of 90 and 315 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
753151575
7631523940
773153465
783158190
7931524885
803155040
813152835
8231525830
8331526145
843151260
853155355
8631527090
873159135
8831527720
8931528035
90315630
913154095
9231528980
933159765
9431529610
953155985
9631510080
9731530555
983154410
993153465
1003156300
10131531815
10231510710
10331532445
10431532760

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 315? (The answer is: 630). Select the first number (e.g. '90') and the second number (e.g. '315'). 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 315?

LCM of 90 and 315 is 630

How to find the LCM of 90 and 315 using prime factorization?

To find the LCM of 90 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 630.

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 315: LCM = 630, GCF = 45.

See Also