LCM for 150 and 200

What's the Least Common Multiple (LCM) of 150 and 200?

Answer: LCM of 150 and 200 is 600

(Six hundred)

Finding LCM for 150 and 200 using GCF's of these numbers

The first method to find LCM for numbers 150 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 200 is 50, so

LCM = (150 × 200) ÷ 50

LCM = 30000 ÷ 50

LCM = 600

Finding LCM for 150 and 200 by Listing Multiples

The second method to find LCM for numbers 150 and 200 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 150: 150, 300, 450, 600, 750, 900

Multiples of 200: 200, 400, 600, 800, 1000

So the LCM for 150 and 200 is 600

Finding LCM for 150 and 200 by Prime Factorization

Another method to find LCM for numbers 150 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

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

23 × 31 × 52 = 600

See Also

LCM Table

Number 1Number 2LCM
1352005400
1362003400
13720027400
13820013800
13920027800
1402001400
14120028200
14220014200
14320028600
1442003600
1452005800
14620014600
14720029400
1482007400
14920029800
150200
15120030200
1522003800
15320030600
15420015400
1552006200
1562007800
15720031400
15820015800
15920031800
160200
16120032200
16220016200
16320032600
1642008200

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 150 and 200? (The answer is: 600). Select the first number (e.g. '150') 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

FAQ

What's the Least Common Multiple (LCM) of 150 and 200?

LCM of 150 and 200 is 600