LCM for 100 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 200?

Answer

LCM of 100 and 200 is 200

(Two hundred)

Finding LCM for 100 and 200 using GCF of these numbers

The first method to find LCM for numbers 100 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 200 is 100, so

LCM = (100 × 200) ÷ 100

LCM = 20000 ÷ 100

LCM = 200

Finding LCM for 100 and 200 by Listing Multiples

The second method to find LCM for numbers 100 and 200 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400

Multiples of 200: 200, 400, 600

So the LCM for 100 and 200 is 200

Finding LCM for 100 and 200 by Prime Factorization

Another method to find LCM for numbers 100 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

23 × 52 = 200

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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 100 and 200? (The answer is: 200). Select the first number (e.g. '100') 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
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
11120022200
1122002800
11320022600
11420011400

FAQ

What's the Least Common Multiple (LCM) of 100 and 200?

LCM of 100 and 200 is 200

How to find the LCM of 100 and 200 using prime factorization?

To find the LCM of 100 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 100 and 200: LCM = 200, GCF = 100.

See Also