LCM for 120 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 200?

Answer: LCM of 120 and 200 is 600

(Six hundred)

Finding LCM for 120 and 200 using GCF's of these numbers

The first method to find LCM for numbers 120 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 200 is 40, so

LCM = (120 × 200) ÷ 40

LCM = 24000 ÷ 40

LCM = 600

Finding LCM for 120 and 200 by Listing Multiples

The second method to find LCM for numbers 120 and 200 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840

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

So the LCM for 120 and 200 is 600

Finding LCM for 120 and 200 by Prime Factorization

Another method to find LCM for numbers 120 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

23 × 31 × 52 = 600

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LCM Table

Number 1Number 2LCM
1052004200
10620010600
10720021400
1082005400
10920021800
1102002200
11120022200
1122002800
11320022600
11420011400
1152004600
1162005800
11720023400
11820011800
11920023800
120200600
12120024200
12220012200
12320024600
1242006200
1252001000
12620012600
12720025400
1282003200
12920025800
1302002600
13120026200
1322006600
13320026600
13420013400

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 120 and 200? (The answer is: 600). Select the first number (e.g. '120') 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 120 and 200?

LCM of 120 and 200 is 600

See Also