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LCM for 100 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 360?

Answer

LCM of 100 and 360 is 1,800

(One thousand, eight hundred)

Finding LCM for 100 and 360 using GCF of these numbers

The first method to find LCM for numbers 100 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 360 is 20, so

LCM = (100 × 360) ÷ 20

LCM = 36000 ÷ 20

LCM = 1800

Finding LCM for 100 and 360 by Listing Multiples

The second method to find LCM for numbers 100 and 360 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, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520

So the LCM for 100 and 360 is 1800

Finding LCM for 100 and 360 by Prime Factorization

Another method to find LCM for numbers 100 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 52 × 32 = 1800

Related Calculations

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What is the LCM of 100 and 360?. Find the LCM of 100 and 360 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
853606120
8636015480
8736010440
883603960
8936032040
90360360
9136032760
923608280
9336011160
9436016920
953606840
963601440
9736034920
9836017640
993603960
1003601800
10136036360
1023606120
10336037080
1043604680
1053602520
10636019080
10736038520
1083601080
10936039240
1103603960
11136013320
1123605040
11336040680
1143606840

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 360? (The answer is: 1800). Select the first number (e.g. '100') and the second number (e.g. '360'). 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 360?

LCM of 100 and 360 is 1,800

How to find the LCM of 100 and 360 using prime factorization?

To find the LCM of 100 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

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 360: LCM = 1,800, GCF = 20.

See Also