LCM for 750 and 975

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What's the Least Common Multiple (LCM) of 750 and 975?

Answer

LCM of 750 and 975 is
9,750

(Nine thousand seven hundred fifty)

Finding LCM for 750 and 975 using GCF of these numbers

The first method to find LCM for numbers 750 and 975 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 750 and 975 is 75, so

LCM = (750 × 975) ÷ 75

LCM = 731,250 ÷ 75

LCM = 9,750

Finding LCM for 750 and 975 by Listing Multiples

The second method to find LCM for numbers 750 and 975 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 750: 750, 1,500, 2,250, 3,000, 3,750, 4,500, 5,250, 6,000, 6,750, 7,500, 8,250, 9,000, 9,750, 10,500, 11,250

Multiples of 975: 975, 1,950, 2,925, 3,900, 4,875, 5,850, 6,825, 7,800, 8,775, 9,750, 10,725, 11,700

So the LCM for 750 and 975 is 9,750

Finding LCM for 750 and 975 by Prime Factorization

Another method to find LCM for numbers 750 and 975 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 750: 2, 3, 5, 5, 5 (exponent form: 21, 31, 53)

All Prime Factors of 975: 3, 5, 5, 13 (exponent form: 31, 52, 131)

21 × 31 × 53 × 131 = 9,750

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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 750 and 975? (The answer is: 9,750). Select the first number (e.g. '750') and the second number (e.g. '975'). 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
75096024,000
750961720,750
750962360,750
750963240,750
750964361,500
750965144,750
750966120,750
750967725,250
750968363,000
750969242,250
75097072,750
750971728,250
750972121,500
750973729,750
750974365,250
7509759,750
750976366,000
750977732,750
750978122,250
750979734,250
75098073,500
750981245,250
750982368,250
750983737,250
750984123,000
750985147,750
750986369,750
750987246,750
750988370,500
750989741,750

FAQ

What's the Least Common Multiple (LCM) of 750 and 975?

LCM of 750 and 975 is 9,750

How to find the LCM of 750 and 975 using prime factorization?

To find the LCM of 750 and 975, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,750.

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 750 and 975: LCM = 9,750, GCF = 75.

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