LCM for 100 and 125

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 125?

Answer

LCM of 100 and 125 is 500

(Five hundred)

Finding LCM for 100 and 125 using GCF of these numbers

The first method to find LCM for numbers 100 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 125 is 25, so

LCM = (100 × 125) ÷ 25

LCM = 12500 ÷ 25

LCM = 500

Finding LCM for 100 and 125 by Listing Multiples

The second method to find LCM for numbers 100 and 125 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 125: 125, 250, 375, 500, 625, 750

So the LCM for 100 and 125 is 500

Finding LCM for 100 and 125 by Prime Factorization

Another method to find LCM for numbers 100 and 125 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 125: 5, 5, 5 (exponent form: 53)

22 × 53 = 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 100 and 125? (The answer is: 500). Select the first number (e.g. '100') and the second number (e.g. '125'). 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
851252125
8612510750
8712510875
8812511000
8912511125
901252250
9112511375
9212511500
9312511625
9412511750
951252375
9612512000
9712512125
9812512250
9912512375
100125500
10112512625
10212512750
10312512875
10412513000
1051252625
10612513250
10712513375
10812513500
10912513625
1101252750
11112513875
11212514000
11312514125
11412514250

FAQ

What's the Least Common Multiple (LCM) of 100 and 125?

LCM of 100 and 125 is 500

How to find the LCM of 100 and 125 using prime factorization?

To find the LCM of 100 and 125, 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 125: LCM = 500, GCF = 25.

See Also