LCM for 125 and 500

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What's the Least Common Multiple (LCM) of 125 and 500?

Answer

LCM of 125 and 500 is
500

(Five hundred)

Finding LCM for 125 and 500 using GCF of these numbers

The first method to find LCM for numbers 125 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 125 and 500 is 125, so

LCM = (125 × 500) ÷ 125

LCM = 62,500 ÷ 125

LCM = 500

Finding LCM for 125 and 500 by Listing Multiples

The second method to find LCM for numbers 125 and 500 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 500: 500, 1,000, 1,500

So the LCM for 125 and 500 is 500

Finding LCM for 125 and 500 by Prime Factorization

Another method to find LCM for numbers 125 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

53 × 22 = 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 125 and 500? (The answer is: 500). Select the first number (e.g. '125') and the second number (e.g. '500'). 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
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LCM Table

Number 1Number 2LCM
12548512,125
12548660,750
12548760,875
12548861,000
12548961,125
12549012,250
12549161,375
12549261,500
12549361,625
12549461,750
12549512,375
12549662,000
12549762,125
12549862,250
12549962,375
125500500
12550162,625
12550262,750
12550362,875
12550463,000
12550512,625
12550663,250
12550763,375
12550863,500
12550963,625
12551012,750
12551163,875
12551264,000
12551364,125
12551464,250

FAQ

What's the Least Common Multiple (LCM) of 125 and 500?

LCM of 125 and 500 is 500

How to find the LCM of 125 and 500 using prime factorization?

To find the LCM of 125 and 500, 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 125 and 500: LCM = 500, GCF = 125.

See Also