LCM for 75 and 300

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What's the Least Common Multiple (LCM) of 75 and 300?

Answer

LCM of 75 and 300 is
300

(Three hundred)

Finding LCM for 75 and 300 using GCF of these numbers

The first method to find LCM for numbers 75 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 300 is 75, so

LCM = (75 × 300) ÷ 75

LCM = 22,500 ÷ 75

LCM = 300

Finding LCM for 75 and 300 by Listing Multiples

The second method to find LCM for numbers 75 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 75: 75, 150, 225, 300, 375, 450

Multiples of 300: 300, 600, 900

So the LCM for 75 and 300 is 300

Finding LCM for 75 and 300 by Prime Factorization

Another method to find LCM for numbers 75 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

31 × 52 × 22 = 300

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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 75 and 300? (The answer is: 300). Select the first number (e.g. '75') and the second number (e.g. '300'). 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
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LCM Table

Number 1Number 2LCM
752851,425
7528621,450
7528721,525
752887,200
7528921,675
752904,350
752917,275
7529221,900
7529321,975
752947,350
752954,425
7529622,200
752977,425
7529822,350
7529922,425
75300300
7530122,575
7530222,650
753037,575
7530422,800
753054,575
753067,650
7530723,025
7530823,100
753097,725
753104,650
7531123,325
753127,800
7531323,475
7531423,550

FAQ

What's the Least Common Multiple (LCM) of 75 and 300?

LCM of 75 and 300 is 300

How to find the LCM of 75 and 300 using prime factorization?

To find the LCM of 75 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 75 and 300: LCM = 300, GCF = 75.

See Also