LCM for 75 and 100

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 75 and 100?

Answer: LCM of 75 and 100 is 300

(Three hundred)

Finding LCM for 75 and 100 using GCF's of these numbers

The first method to find LCM for numbers 75 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 100 is 25, so

LCM = (75 × 100) ÷ 25

LCM = 7500 ÷ 25

LCM = 300

Finding LCM for 75 and 100 by Listing Multiples

The second method to find LCM for numbers 75 and 100 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 75: 75, 150, 225, 300, 375, 450

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

So the LCM for 75 and 100 is 300

Finding LCM for 75 and 100 by Prime Factorization

Another method to find LCM for numbers 75 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

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

31 × 52 × 22 = 300

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LCM Table

Number 1Number 2LCM
60100300
611006100
621003100
631006300
641001600
651001300
661003300
671006700
681001700
691006900
70100700
711007100
721001800
731007300
741003700
75100300
761001900
771007700
781003900
791007900
80100400
811008100
821004100
831008300
841002100
851001700
861004300
871008700
881002200
891008900

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 75 and 100? (The answer is: 300). Select the first number (e.g. '75') and the second number (e.g. '100'). 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 75 and 100?

LCM of 75 and 100 is 300

See Also