LCM for 75 and 125

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's 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 = 9375 ÷ 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 nubmers and pick the first which matching:

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

Related Calculations

LCM Table

Number 1Number 2LCM
601251500
611257625
621257750
631257875
641258000
651251625
661258250
671258375
681258500
691258625
701251750
711258875
721259000
731259125
741259250
75125
761259500
771259625
781259750
791259875
801252000
8112510125
8212510250
8312510375
8412510500
851252125
8612510750
8712510875
8812511000
8912511125

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

FAQ

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

LCM of 75 and 125 is 375