LCM for 45 and 90

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 90?

Answer

LCM of 45 and 90 is
90

(Ninety)

Finding LCM for 45 and 90 using GCF of these numbers

The first method to find LCM for numbers 45 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 90 is 45, so

LCM = (45 × 90) ÷ 45

LCM = 4050 ÷ 45

LCM = 90

Finding LCM for 45 and 90 by Listing Multiples

The second method to find LCM for numbers 45 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 45: 45, 90, 135, 180

Multiples of 90: 90, 180, 270

So the LCM for 45 and 90 is 90

Finding LCM for 45 and 90 by Prime Factorization

Another method to find LCM for numbers 45 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

32 × 51 × 21 = 90

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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 45 and 90? (The answer is: 90). Select the first number (e.g. '45') 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
4575225
45763420
45773465
45781170
45793555
4580720
4581405
45823690
45833735
45841260
4585765
45863870
45871305
45883960
45894005
459090
45914095
45924140
45931395
45944230
4595855
45961440
45974365
45984410
4599495
45100900
451014545
451021530
451034635
451044680

FAQ

What's the Least Common Multiple (LCM) of 45 and 90?

LCM of 45 and 90 is 90

How to find the LCM of 45 and 90 using prime factorization?

To find the LCM of 45 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

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 45 and 90: LCM = 90, GCF = 45.

See Also