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

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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 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

LCM Table

Number 1Number 2LCM
451251125
461255750
471255875
481256000
491256125
50125250
511256375
521256500
531256625
541256750
551251375
561257000
571257125
581257250
591257375
601251500
611257625
621257750
631257875
641258000
651251625
661258250
671258375
681258500
691258625
701251750
711258875
721259000
731259125
741259250

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