LCM for 60 and 500

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What's the Least Common Multiple (LCM) of 60 and 500?

Answer

LCM of 60 and 500 is
1,500

(One thousand five hundred)

Finding LCM for 60 and 500 using GCF of these numbers

The first method to find LCM for numbers 60 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 500 is 20, so

LCM = (60 × 500) ÷ 20

LCM = 30,000 ÷ 20

LCM = 1,500

Finding LCM for 60 and 500 by Listing Multiples

The second method to find LCM for numbers 60 and 500 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, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320, 1,380, 1,440, 1,500, 1,560, 1,620

Multiples of 500: 500, 1,000, 1,500, 2,000, 2,500

So the LCM for 60 and 500 is 1,500

Finding LCM for 60 and 500 by Prime Factorization

Another method to find LCM for numbers 60 and 500 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 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

22 × 31 × 53 = 1,500

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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 500? (The answer is: 1,500). Select the first number (e.g. '60') and the second number (e.g. '500'). 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
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LCM Table

Number 1Number 2LCM
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840
602901,740
602953,540
603151,260
60320960
60330660
603401,020
603451,380
60360360
603654,380
603702,220
60390780
604001,200
604102,460
604154,980
604302,580
604351,740
604455,340
604555,460
604651,860
604902,940
604951,980
605001,500

FAQ

What's the Least Common Multiple (LCM) of 60 and 500?

LCM of 60 and 500 is 1,500

How to find the LCM of 60 and 500 using prime factorization?

To find the LCM of 60 and 500, 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 500: LCM = 1,500, GCF = 20.

See Also