LCM for 125 and 150

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What's the Least Common Multiple (LCM) of 125 and 150?

Answer

LCM of 125 and 150 is
750

(Seven hundred fifty)

Finding LCM for 125 and 150 using GCF of these numbers

The first method to find LCM for numbers 125 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 125 and 150 is 25, so

LCM = (125 × 150) ÷ 25

LCM = 18,750 ÷ 25

LCM = 750

Finding LCM for 125 and 150 by Listing Multiples

The second method to find LCM for numbers 125 and 150 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

Multiples of 150: 150, 300, 450, 600, 750, 900, 1,050

So the LCM for 125 and 150 is 750

Finding LCM for 125 and 150 by Prime Factorization

Another method to find LCM for numbers 125 and 150 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 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

53 × 21 × 31 = 750

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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 150? (The answer is: 750). Select the first number (e.g. '125') and the second number (e.g. '150'). 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
1251353,375
12513617,000
12513717,125
12513817,250
12513917,375
1251403,500
12514117,625
12514217,750
12514317,875
12514418,000
1251453,625
12514618,250
12514718,375
12514818,500
12514918,625
125150750
12515118,875
12515219,000
12515319,125
12515419,250
1251553,875
12515619,500
12515719,625
12515819,750
12515919,875
1251604,000
12516120,125
12516220,250
12516320,375
12516420,500

FAQ

What's the Least Common Multiple (LCM) of 125 and 150?

LCM of 125 and 150 is 750

How to find the LCM of 125 and 150 using prime factorization?

To find the LCM of 125 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 750.

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 150: LCM = 750, GCF = 25.

See Also