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LCM for 100 and 500

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 500?

Answer

LCM of 100 and 500 is 500

(Five hundred)

Finding LCM for 100 and 500 using GCF of these numbers

The first method to find LCM for numbers 100 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 500 is 100, so

LCM = (100 × 500) ÷ 100

LCM = 50000 ÷ 100

LCM = 500

Finding LCM for 100 and 500 by Listing Multiples

The second method to find LCM for numbers 100 and 500 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700

Multiples of 500: 500, 1000, 1500

So the LCM for 100 and 500 is 500

Finding LCM for 100 and 500 by Prime Factorization

Another method to find LCM for numbers 100 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

22 × 53 = 500

Related Calculations

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What is the LCM of 100 and 500?. Find the LCM of 100 and 500 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
855008500
8650021500
8750043500
8850011000
8950044500
905004500
9150045500
9250011500
9350046500
9450023500
955009500
9650012000
9750048500
9850024500
9950049500
100500500
10150050500
10250025500
10350051500
10450013000
10550010500
10650026500
10750053500
10850013500
10950054500
1105005500
11150055500
11250014000
11350056500
11450028500

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 100 and 500? (The answer is: 500). Select the first number (e.g. '100') 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

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 100 and 500?

LCM of 100 and 500 is 500

How to find the LCM of 100 and 500 using prime factorization?

To find the LCM of 100 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 100 and 500: LCM = 500, GCF = 100.

See Also