LCM for 20 and 125

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 125?

Answer

LCM of 20 and 125 is 500

(Five hundred)

Finding LCM for 20 and 125 using GCF of these numbers

The first method to find LCM for numbers 20 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 125 is 5, so

LCM = (20 × 125) ÷ 5

LCM = 2500 ÷ 5

LCM = 500

Finding LCM for 20 and 125 by Listing Multiples

The second method to find LCM for numbers 20 and 125 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540

Multiples of 125: 125, 250, 375, 500, 625, 750

So the LCM for 20 and 125 is 500

Finding LCM for 20 and 125 by Prime Factorization

Another method to find LCM for numbers 20 and 125 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

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

22 × 53 = 500

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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 20 and 125? (The answer is: 500). Select the first number (e.g. '20') 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
5125125
6125750
7125875
81251000
91251125
10125250
111251375
121251500
131251625
141251750
15125375
161252000
171252125
181252250
191252375
20125500
211252625
221252750
231252875
241253000
25125125
261253250
271253375
281253500
291253625
30125750
311253875
321254000
331254125
341254250

FAQ

What's the Least Common Multiple (LCM) of 20 and 125?

LCM of 20 and 125 is 500

How to find the LCM of 20 and 125 using prime factorization?

To find the LCM of 20 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 20 and 125: LCM = 500, GCF = 5.

See Also