LCM for 100 and 400

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 400?

Answer

LCM of 100 and 400 is 400

(Four hundred)

Finding LCM for 100 and 400 using GCF of these numbers

The first method to find LCM for numbers 100 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 400 is 100, so

LCM = (100 × 400) ÷ 100

LCM = 40000 ÷ 100

LCM = 400

Finding LCM for 100 and 400 by Listing Multiples

The second method to find LCM for numbers 100 and 400 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600

Multiples of 400: 400, 800, 1200

So the LCM for 100 and 400 is 400

Finding LCM for 100 and 400 by Prime Factorization

Another method to find LCM for numbers 100 and 400 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 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

24 × 52 = 400

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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 400? (The answer is: 400). Select the first number (e.g. '100') and the second number (e.g. '400'). 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
854006800
8640017200
8740034800
884004400
8940035600
904003600
9140036400
924009200
9340037200
9440018800
954007600
964002400
9740038800
9840019600
9940039600
100400400
10140040400
10240020400
10340041200
1044005200
1054008400
10640021200
10740042800
10840010800
10940043600
1104004400
11140044400
1124002800
11340045200
11440022800

FAQ

What's the Least Common Multiple (LCM) of 100 and 400?

LCM of 100 and 400 is 400

How to find the LCM of 100 and 400 using prime factorization?

To find the LCM of 100 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

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 400: LCM = 400, GCF = 100.

See Also