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LCM for 100 and 325

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 325?

Answer

LCM of 100 and 325 is 1,300

(One thousand, three hundred)

Finding LCM for 100 and 325 using GCF of these numbers

The first method to find LCM for numbers 100 and 325 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 325 is 25, so

LCM = (100 × 325) ÷ 25

LCM = 32500 ÷ 25

LCM = 1300

Finding LCM for 100 and 325 by Listing Multiples

The second method to find LCM for numbers 100 and 325 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

Multiples of 325: 325, 650, 975, 1300, 1625, 1950

So the LCM for 100 and 325 is 1300

Finding LCM for 100 and 325 by Prime Factorization

Another method to find LCM for numbers 100 and 325 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 325: 5, 5, 13 (exponent form: 52, 131)

22 × 52 × 131 = 1300

See Also

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What is the LCM of 100 and 325?. Find the LCM of 100 and 325 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
853255525
8632527950
8732528275
8832528600
8932528925
903255850
913252275
9232529900
9332530225
9432530550
953256175
9632531200
9732531525
9832531850
9932532175
1003251300
10132532825
10232533150
10332533475
1043252600
1053256825
10632534450
10732534775
10832535100
10932535425
1103257150
11132536075
11232536400
11332536725
11432537050

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 325? (The answer is: 1300). Select the first number (e.g. '100') and the second number (e.g. '325'). 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 325?

LCM of 100 and 325 is 1,300

How to find the LCM of 100 and 325 using prime factorization?

To find the LCM of 100 and 325, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,300.

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 325: LCM = 1,300, GCF = 25.

See Also