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LCM for 100 and 225

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 225?

Answer

LCM of 100 and 225 is 900

(Nine hundred)

Finding LCM for 100 and 225 using GCF of these numbers

The first method to find LCM for numbers 100 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 225 is 25, so

LCM = (100 × 225) ÷ 25

LCM = 22500 ÷ 25

LCM = 900

Finding LCM for 100 and 225 by Listing Multiples

The second method to find LCM for numbers 100 and 225 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, 700, 800, 900, 1000, 1100

Multiples of 225: 225, 450, 675, 900, 1125, 1350

So the LCM for 100 and 225 is 900

Finding LCM for 100 and 225 by Prime Factorization

Another method to find LCM for numbers 100 and 225 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 225: 3, 3, 5, 5 (exponent form: 32, 52)

22 × 52 × 32 = 900

See Also

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What is the LCM of 100 and 225?. Find the LCM of 100 and 225 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
852253825
8622519350
872256525
8822519800
8922520025
90225450
9122520475
9222520700
932256975
9422521150
952254275
962257200
9722521825
9822522050
992252475
100225900
10122522725
1022257650
10322523175
10422523400
1052251575
10622523850
10722524075
1082252700
10922524525
1102254950
1112258325
11222525200
11322525425
1142258550

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 225? (The answer is: 900). Select the first number (e.g. '100') and the second number (e.g. '225'). 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 100 and 225?

LCM of 100 and 225 is 900

How to find the LCM of 100 and 225 using prime factorization?

To find the LCM of 100 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 225: LCM = 900, GCF = 25.

See Also