LCM for 25 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 25 and 60?

Answer

LCM of 25 and 60 is 300

(Three hundred)

Finding LCM for 25 and 60 using GCF of these numbers

The first method to find LCM for numbers 25 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 25 and 60 is 5, so

LCM = (25 × 60) ÷ 5

LCM = 1500 ÷ 5

LCM = 300

Finding LCM for 25 and 60 by Listing Multiples

The second method to find LCM for numbers 25 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350

Multiples of 60: 60, 120, 180, 240, 300, 360, 420

So the LCM for 25 and 60 is 300

Finding LCM for 25 and 60 by Prime Factorization

Another method to find LCM for numbers 25 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 25: 5, 5 (exponent form: 52)

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

52 × 22 × 31 = 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 25 and 60? (The answer is: 300). Select the first number (e.g. '25') and the second number (e.g. '60'). 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
251050
251575
2520100
2526650
2527675
2528700
2530150
2531775
2532800
2533825
2534850
2535175
2536900
2537925
2538950
2540200
25411025
25421050
2545225
25461150
255050
25531325
2555275
2560300

FAQ

What's the Least Common Multiple (LCM) of 25 and 60?

LCM of 25 and 60 is 300

How to find the LCM of 25 and 60 using prime factorization?

To find the LCM of 25 and 60, 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 25 and 60: LCM = 300, GCF = 5.

See Also