LCM for 60 and 250

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 250?

Answer

LCM of 60 and 250 is 1,500

(One thousand, five hundred)

Finding LCM for 60 and 250 using GCF of these numbers

The first method to find LCM for numbers 60 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 250 is 10, so

LCM = (60 × 250) ÷ 10

LCM = 15000 ÷ 10

LCM = 1500

Finding LCM for 60 and 250 by Listing Multiples

The second method to find LCM for numbers 60 and 250 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620

Multiples of 250: 250, 500, 750, 1000, 1250, 1500, 1750, 2000

So the LCM for 60 and 250 is 1500

Finding LCM for 60 and 250 by Prime Factorization

Another method to find LCM for numbers 60 and 250 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 250: 2, 5, 5, 5 (exponent form: 21, 53)

22 × 31 × 53 = 1500

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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 250? (The answer is: 1500). Select the first number (e.g. '60') and the second number (e.g. '250'). 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
452502250
462505750
4725011750
482506000
4925012250
50250250
5125012750
522506500
5325013250
542506750
552502750
562507000
5725014250
582507250
5925014750
602501500
6125015250
622507750
6325015750
642508000
652503250
662508250
6725016750
682508500
6925017250
702501750
7125017750
722509000
7325018250
742509250

FAQ

What's the Least Common Multiple (LCM) of 60 and 250?

LCM of 60 and 250 is 1,500

How to find the LCM of 60 and 250 using prime factorization?

To find the LCM of 60 and 250, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,500.

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 60 and 250: LCM = 1,500, GCF = 10.

See Also