LCM for 100 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 180?

Answer

LCM of 100 and 180 is 900

(Nine hundred)

Finding LCM for 100 and 180 using GCF of these numbers

The first method to find LCM for numbers 100 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 180 is 20, so

LCM = (100 × 180) ÷ 20

LCM = 18000 ÷ 20

LCM = 900

Finding LCM for 100 and 180 by Listing Multiples

The second method to find LCM for numbers 100 and 180 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 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 100 and 180 is 900

Finding LCM for 100 and 180 by Prime Factorization

Another method to find LCM for numbers 100 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 52 × 32 = 900

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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 180? (The answer is: 900). Select the first number (e.g. '100') and the second number (e.g. '180'). 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
851803060
861807740
871805220
881803960
8918016020
90180180
9118016380
921804140
931805580
941808460
951803420
961801440
9718017460
981808820
991801980
100180900
10118018180
1021803060
10318018540
1041804680
1051801260
1061809540
10718019260
108180540
10918019620
1101801980
1111806660
1121805040
11318020340
1141803420

FAQ

What's the Least Common Multiple (LCM) of 100 and 180?

LCM of 100 and 180 is 900

How to find the LCM of 100 and 180 using prime factorization?

To find the LCM of 100 and 180, 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 180: LCM = 900, GCF = 20.

See Also