LCM for 90 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 210?

Answer

LCM of 90 and 210 is 630

(Six hundred thirty)

Finding LCM for 90 and 210 using GCF of these numbers

The first method to find LCM for numbers 90 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 210 is 30, so

LCM = (90 × 210) ÷ 30

LCM = 18900 ÷ 30

LCM = 630

Finding LCM for 90 and 210 by Listing Multiples

The second method to find LCM for numbers 90 and 210 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 210: 210, 420, 630, 840, 1050

So the LCM for 90 and 210 is 630

Finding LCM for 90 and 210 by Prime Factorization

Another method to find LCM for numbers 90 and 210 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 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

21 × 32 × 51 × 71 = 630

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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 210? (The answer is: 630). Select the first number (e.g. '90') and the second number (e.g. '210'). 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
752101050
762107980
772102310
782102730
7921016590
802101680
812105670
822108610
8321017430
84210420
852103570
862109030
872106090
882109240
8921018690
90210630
912102730
922109660
932106510
942109870
952103990
962103360
9721020370
982101470
992106930
1002102100
10121021210
1022103570
10321021630
10421010920

FAQ

What's the Least Common Multiple (LCM) of 90 and 210?

LCM of 90 and 210 is 630

How to find the LCM of 90 and 210 using prime factorization?

To find the LCM of 90 and 210, 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 210: LCM = 630, GCF = 30.

See Also