LCM for 60 and 75

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What's the Least Common Multiple (LCM) of 60 and 75?

Answer

LCM of 60 and 75 is
300

(Three hundred)

Finding LCM for 60 and 75 using GCF of these numbers

The first method to find LCM for numbers 60 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 75 is 15, so

LCM = (60 × 75) ÷ 15

LCM = 4,500 ÷ 15

LCM = 300

Finding LCM for 60 and 75 by Listing Multiples

The second method to find LCM for numbers 60 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420

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

So the LCM for 60 and 75 is 300

Finding LCM for 60 and 75 by Prime Factorization

Another method to find LCM for numbers 60 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

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

22 × 31 × 52 = 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 60 and 75? (The answer is: 300). Select the first number (e.g. '60') and the second number (e.g. '75'). 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
606060
6070420
6072360
6075300
6080240
60100300
60108540
60110660
601251,500
60132660
60135540
60140420
60150300
601551,860
60160480
601752,100
601852,220
601901,140
60210420
602152,580
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840
602901,740
602953,540

FAQ

What's the Least Common Multiple (LCM) of 60 and 75?

LCM of 60 and 75 is 300

How to find the LCM of 60 and 75 using prime factorization?

To find the LCM of 60 and 75, 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 60 and 75: LCM = 300, GCF = 15.

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