LCM for 75 and 125

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What's the Least Common Multiple (LCM) of 75 and 125?

Answer

LCM of 75 and 125 is
375

(Three hundred seventy-five)

Finding LCM for 75 and 125 using GCF of these numbers

The first method to find LCM for numbers 75 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 125 is 25, so

LCM = (75 × 125) ÷ 25

LCM = 9,375 ÷ 25

LCM = 375

Finding LCM for 75 and 125 by Listing Multiples

The second method to find LCM for numbers 75 and 125 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, 525

Multiples of 125: 125, 250, 375, 500, 625

So the LCM for 75 and 125 is 375

Finding LCM for 75 and 125 by Prime Factorization

Another method to find LCM for numbers 75 and 125 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 125: 5, 5, 5 (exponent form: 53)

31 × 53 = 375

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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 125? (The answer is: 375). Select the first number (e.g. '75') 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
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LCM Table

Number 1Number 2LCM
751101,650
751112,775
751128,400
751138,475
751142,850
751151,725
751168,700
751172,925
751188,850
751198,925
75120600
751219,075
751229,150
751233,075
751249,300
75125375
751263,150
751279,525
751289,600
751293,225
751301,950
751319,825
751323,300
751339,975
7513410,050
75135675
7513610,200
7513710,275
751383,450
7513910,425

FAQ

What's the Least Common Multiple (LCM) of 75 and 125?

LCM of 75 and 125 is 375

How to find the LCM of 75 and 125 using prime factorization?

To find the LCM of 75 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 375.

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 125: LCM = 375, GCF = 25.

See Also