LCM for 96 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 96 and 200?

Answer: LCM of 96 and 200 is 2,400

(Two thousand, four hundred)

Finding LCM for 96 and 200 using GCF's of these numbers

The first method to find LCM for numbers 96 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 96 and 200 is 8, so

LCM = (96 × 200) ÷ 8

LCM = 19200 ÷ 8

LCM = 2400

Finding LCM for 96 and 200 by Listing Multiples

The second method to find LCM for numbers 96 and 200 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, 1248, 1344, 1440, 1536, 1632, 1728, 1824, 1920, 2016, 2112, 2208, 2304, 2400, 2496, 2592

Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800

So the LCM for 96 and 200 is 2400

Finding LCM for 96 and 200 by Prime Factorization

Another method to find LCM for numbers 96 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

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

25 × 31 × 52 = 2400

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LCM Table

Number 1Number 2LCM
8120016200
822008200
8320016600
842004200
852003400
862008600
8720017400
882002200
8920017800
902001800
9120018200
922004600
9320018600
942009400
952003800
962002400
9720019400
982009800
9920019800
100200200
10120020200
10220010200
10320020600
1042002600
1052004200
10620010600
10720021400
1082005400
10920021800
1102002200

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 96 and 200? (The answer is: 2400). Select the first number (e.g. '96') 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 96 and 200?

LCM of 96 and 200 is 2,400

See Also