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LCM for 90 and 216

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 216?

Answer

LCM of 90 and 216 is 1,080

(One thousand, eighty)

Finding LCM for 90 and 216 using GCF of these numbers

The first method to find LCM for numbers 90 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 216 is 18, so

LCM = (90 × 216) ÷ 18

LCM = 19440 ÷ 18

LCM = 1080

Finding LCM for 90 and 216 by Listing Multiples

The second method to find LCM for numbers 90 and 216 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260

Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512

So the LCM for 90 and 216 is 1080

Finding LCM for 90 and 216 by Prime Factorization

Another method to find LCM for numbers 90 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

23 × 33 × 51 = 1080

See Also

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What is the LCM of 90 and 216?. Find the LCM of 90 and 216 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
752165400
762164104
7721616632
782162808
7921617064
802162160
81216648
822168856
8321617928
842161512
8521618360
862169288
872166264
882162376
8921619224
902161080
9121619656
922164968
932166696
9421610152
9521620520
96216864
9721620952
9821610584
992162376
1002165400
10121621816
1022163672
10321622248
1042162808

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 90 and 216? (The answer is: 1080). Select the first number (e.g. '90') and the second number (e.g. '216'). 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 90 and 216?

LCM of 90 and 216 is 1,080

How to find the LCM of 90 and 216 using prime factorization?

To find the LCM of 90 and 216, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

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 90 and 216: LCM = 1,080, GCF = 18.