LCM for 180 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 180 and 200?

Answer: LCM of 180 and 200 is 1,800

(One thousand, eight hundred)

Finding LCM for 180 and 200 using GCF's of these numbers

The first method to find LCM for numbers 180 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 200 is 20, so

LCM = (180 × 200) ÷ 20

LCM = 36000 ÷ 20

LCM = 1800

Finding LCM for 180 and 200 by Listing Multiples

The second method to find LCM for numbers 180 and 200 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160

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

So the LCM for 180 and 200 is 1800

Finding LCM for 180 and 200 by Prime Factorization

Another method to find LCM for numbers 180 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

23 × 32 × 52 = 1800

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LCM Table

Number 1Number 2LCM
1652006600
16620016600
16720033400
1682004200
16920033800
1702003400
17120034200
1722008600
17320034600
17420017400
1752001400
1762004400
17720035400
17820017800
17920035800
1802001800
18120036200
18220018200
18320036600
1842004600
1852007400
18620018600
18720037400
1882009400
18920037800
1902003800
19120038200
1922004800
19320038600
19420019400

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 180 and 200? (The answer is: 1800). Select the first number (e.g. '180') 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

FAQ

What's the Least Common Multiple (LCM) of 180 and 200?

LCM of 180 and 200 is 1,800

See Also