LCM for 125 and 175

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What's the Least Common Multiple (LCM) of 125 and 175?

Answer

LCM of 125 and 175 is
875

(Eight hundred seventy-five)

Finding LCM for 125 and 175 using GCF of these numbers

The first method to find LCM for numbers 125 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 125 and 175 is 25, so

LCM = (125 × 175) ÷ 25

LCM = 21,875 ÷ 25

LCM = 875

Finding LCM for 125 and 175 by Listing Multiples

The second method to find LCM for numbers 125 and 175 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, 875, 1,000, 1,125

Multiples of 175: 175, 350, 525, 700, 875, 1,050, 1,225

So the LCM for 125 and 175 is 875

Finding LCM for 125 and 175 by Prime Factorization

Another method to find LCM for numbers 125 and 175 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 175: 5, 5, 7 (exponent form: 52, 71)

53 × 71 = 875

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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 175? (The answer is: 875). Select the first number (e.g. '125') and the second number (e.g. '175'). 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
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LCM Table

Number 1Number 2LCM
1251604,000
12516120,125
12516220,250
12516320,375
12516420,500
1251654,125
12516620,750
12516720,875
12516821,000
12516921,125
1251704,250
12517121,375
12517221,500
12517321,625
12517421,750
125175875
12517622,000
12517722,125
12517822,250
12517922,375
1251804,500
12518122,625
12518222,750
12518322,875
12518423,000
1251854,625
12518623,250
12518723,375
12518823,500
12518923,625

FAQ

What's the Least Common Multiple (LCM) of 125 and 175?

LCM of 125 and 175 is 875

How to find the LCM of 125 and 175 using prime factorization?

To find the LCM of 125 and 175, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 875.

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 175: LCM = 875, GCF = 25.

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