LCM for 75 and 90

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 75 and 90?

Answer: LCM of 75 and 90 is 450

(Four hundred fifty)

Finding LCM for 75 and 90 using GCF's of these numbers

The first method to find LCM for numbers 75 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 90 is 15, so

LCM = (75 × 90) ÷ 15

LCM = 6750 ÷ 15

LCM = 450

Finding LCM for 75 and 90 by Listing Multiples

The second method to find LCM for numbers 75 and 90 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600

Multiples of 90: 90, 180, 270, 360, 450, 540, 630

So the LCM for 75 and 90 is 450

Finding LCM for 75 and 90 by Prime Factorization

Another method to find LCM for numbers 75 and 90 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 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

32 × 52 × 21 = 450

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LCM Table

Number 1Number 2LCM
6090180
61905490
62902790
6390630
64902880
65901170
6690990
67906030
68903060
69902070
7090630
71906390
7290360
73906570
74903330
7590450
76903420
77906930
78901170
79907110
8090720
8190810
82903690
83907470
84901260
85901530
86903870
87902610
88903960
89908010

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 90? (The answer is: 450). Select the first number (e.g. '75') and the second number (e.g. '90'). 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

FAQ

What's the Least Common Multiple (LCM) of 75 and 90?

LCM of 75 and 90 is 450

See Also