LCM for 60 and 75

"Least Common Multiple" Calculator

Least Common Multiple of

and

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's 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 = 4500 ÷ 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 nubmers and pick the first which matching:

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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
4575225
46753450
47753525
48751200
49753675
5075150
51751275
52753900
53753975
54751350
5575825
56754200
57751425
58754350
59754425
6075300
61754575
62754650
63751575
64754800
6575975
66751650
67755025
68755100
69751725
70751050
71755325
72751800
73755475
74755550

FAQ

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

LCM of 60 and 75 is 300

See Also