Feedback form
Hi! What do you think?

You can also email us on infocalculat.io

LCM for 60 and 125

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 125?

Answer

LCM of 60 and 125 is 1,500

(One thousand, five hundred)

Finding LCM for 60 and 125 using GCF of these numbers

The first method to find LCM for numbers 60 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 125 is 5, so

LCM = (60 × 125) ÷ 5

LCM = 7500 ÷ 5

LCM = 1500

Finding LCM for 60 and 125 by Listing Multiples

The second method to find LCM for numbers 60 and 125 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620

Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750

So the LCM for 60 and 125 is 1500

Finding LCM for 60 and 125 by Prime Factorization

Another method to find LCM for numbers 60 and 125 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 125: 5, 5, 5 (exponent form: 53)

22 × 31 × 53 = 1500

Related Calculations

See Also

Share This Calculation
Print
https://calculat.io/en/number/least-common-multiple-lcm-of/60--125Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--125">What is the LCM of 60 and 125? - Calculatio</a>Copy
Facebook
Twitter
Telegram
WhatsApp
Viber
Email
What is the LCM of 60 and 125?. The LCM of 60 and 125 is 1500 — the smallest common multiple of both integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/60--125/generated.jpgCopy

LCM Table

Number 1Number 2LCM
60100300
60110660
601251500
60135540
60140420
60150300
601551860
60160480
601752100
601852220
601901140
60210420
602152580
60220660
602352820
60240240
602452940
602501500
60260780
602753300
60280840
602901740
602953540
603151260
60320960
60330660
603401020
603451380
60360360
603654380

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 60 and 125? (The answer is: 1500). Select the first number (e.g. '60') 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

FAQ

What's the Least Common Multiple (LCM) of 60 and 125?

LCM of 60 and 125 is 1,500

How to find the LCM of 60 and 125 using prime factorization?

To find the LCM of 60 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,500.

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 60 and 125: LCM = 1,500, GCF = 5.

See Also