LCM for 90 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 200?

Answer

LCM of 90 and 200 is 1,800

(One thousand, eight hundred)

Finding LCM for 90 and 200 using GCF of these numbers

The first method to find LCM for numbers 90 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 200 is 10, so

LCM = (90 × 200) ÷ 10

LCM = 18000 ÷ 10

LCM = 1800

Finding LCM for 90 and 200 by Listing Multiples

The second method to find LCM for numbers 90 and 200 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, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980

Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200

So the LCM for 90 and 200 is 1800

Finding LCM for 90 and 200 by Prime Factorization

Another method to find LCM for numbers 90 and 200 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 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

23 × 32 × 52 = 1800

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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 90 and 200? (The answer is: 1800). Select the first number (e.g. '90') and the second number (e.g. '200'). 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
75200600
762003800
7720015400
782007800
7920015800
80200400
8120016200
822008200
8320016600
842004200
852003400
862008600
8720017400
882002200
8920017800
902001800
9120018200
922004600
9320018600
942009400
952003800
962002400
9720019400
982009800
9920019800
100200200
10120020200
10220010200
10320020600
1042002600

FAQ

What's the Least Common Multiple (LCM) of 90 and 200?

LCM of 90 and 200 is 1,800

How to find the LCM of 90 and 200 using prime factorization?

To find the LCM of 90 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

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 200: LCM = 1,800, GCF = 10.

See Also