LCM for 100 and 115

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 115?

Answer

LCM of 100 and 115 is 2,300

(Two thousand, three hundred)

Finding LCM for 100 and 115 using GCF of these numbers

The first method to find LCM for numbers 100 and 115 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 115 is 5, so

LCM = (100 × 115) ÷ 5

LCM = 11500 ÷ 5

LCM = 2300

Finding LCM for 100 and 115 by Listing Multiples

The second method to find LCM for numbers 100 and 115 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, 2100, 2200, 2300, 2400, 2500

Multiples of 115: 115, 230, 345, 460, 575, 690, 805, 920, 1035, 1150, 1265, 1380, 1495, 1610, 1725, 1840, 1955, 2070, 2185, 2300, 2415, 2530

So the LCM for 100 and 115 is 2300

Finding LCM for 100 and 115 by Prime Factorization

Another method to find LCM for numbers 100 and 115 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 115: 5, 23 (exponent form: 51, 231)

22 × 52 × 231 = 2300

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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 115? (The answer is: 2300). Select the first number (e.g. '100') and the second number (e.g. '115'). 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
100100100
1001052100
1001152300
100120600
100125500
1001301300
1001352700
100150300
1001553100
100160800
1001653300
100175700
100180900
1001901900
100200200
1002154300
1002201100
100225900
1002302300
1002354700
1002401200
100250500
1002555100
1002601300
1002702700
1002751100
1002855700
1002902900
1003201600
1003251300

FAQ

What's the Least Common Multiple (LCM) of 100 and 115?

LCM of 100 and 115 is 2,300

How to find the LCM of 100 and 115 using prime factorization?

To find the LCM of 100 and 115, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,300.

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 115: LCM = 2,300, GCF = 5.

See Also