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LCM for 18 and 90

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 90?

Answer

LCM of 18 and 90 is 90

(Ninety)

Finding LCM for 18 and 90 using GCF of these numbers

The first method to find LCM for numbers 18 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 90 is 18, so

LCM = (18 × 90) ÷ 18

LCM = 1620 ÷ 18

LCM = 90

Finding LCM for 18 and 90 by Listing Multiples

The second method to find LCM for numbers 18 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126

Multiples of 90: 90, 180, 270

So the LCM for 18 and 90 is 90

Finding LCM for 18 and 90 by Prime Factorization

Another method to find LCM for numbers 18 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

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

21 × 32 × 51 = 90

See Also

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What is the LCM of 18 and 90?. Find the LCM of 18 and 90 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
39090
490180
59090
69090
790630
890360
99090
109090
1190990
1290180
13901170
1490630
159090
1690720
17901530
189090
19901710
2090180
2190630
2290990
23902070
2490360
2590450
26901170
2790270
28901260
29902610
309090
31902790
32901440

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 18 and 90? (The answer is: 90). Select the first number (e.g. '18') 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 18 and 90?

LCM of 18 and 90 is 90

How to find the LCM of 18 and 90 using prime factorization?

To find the LCM of 18 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 18 and 90: LCM = 90, GCF = 18.