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 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 = 6,750 ÷ 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 numbers and pick the first one that matches:

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

Related Calculations

See Also

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

LCM Table

Number 1Number 2LCM
757575
75765,700
75775,775
75781,950
75795,925
75801,200
75812,025
75826,150
75836,225
75842,100
75851,275
75866,450
75872,175
75886,600
75896,675
7590450
75916,825
75926,900
75932,325
75947,050
75951,425
75962,400
75977,275
75987,350
75992,475
75100300
751017,575
751022,550
751037,725
751047,800

FAQ

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

LCM of 75 and 90 is 450

How to find the LCM of 75 and 90 using prime factorization?

To find the LCM of 75 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

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 90: LCM = 450, GCF = 15.

See Also