LCM for 60 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 210?

Answer: LCM of 60 and 210 is 420

(Four hundred twenty)

Finding LCM for 60 and 210 using GCF's of these numbers

The first method to find LCM for numbers 60 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 210 is 30, so

LCM = (60 × 210) ÷ 30

LCM = 12600 ÷ 30

LCM = 420

Finding LCM for 60 and 210 by Listing Multiples

The second method to find LCM for numbers 60 and 210 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540

Multiples of 210: 210, 420, 630, 840

So the LCM for 60 and 210 is 420

Finding LCM for 60 and 210 by Prime Factorization

Another method to find LCM for numbers 60 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

22 × 31 × 51 × 71 = 420

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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 60 and 210? (The answer is: 420). Select the first number (e.g. '60') 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
45210630
462104830
472109870
482101680
492101470
502101050
512103570
522105460
5321011130
542101890
552102310
56210840
572103990
582106090
5921012390
60210420
6121012810
622106510
63210630
642106720
652102730
662102310
6721014070
682107140
692104830
70210210
7121014910
722102520
7321015330
742107770

FAQ

What's the Least Common Multiple (LCM) of 60 and 210?

LCM of 60 and 210 is 420

See Also