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 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 numbers and pick the first one that matches:

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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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

LCM Table

Number 1Number 2LCM
75851275
75866450
75872175
75886600
75896675
7590450
75916825
75926900
75932325
75947050
75951425
75962400
75977275
75987350
75992475
75100300
751017575
751022550
751037725
751047800
75105525
751067950
751078025
751082700
751098175
751101650
751112775
751128400
751138475
751142850

FAQ

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

LCM of 75 and 100 is 300

How to find the LCM of 75 and 100 using prime factorization?

To find the LCM of 75 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 75 and 100: LCM = 300, GCF = 25.

See Also