LCM for 100 and 375

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 375?

Answer

LCM of 100 and 375 is 1,500

(One thousand, five hundred)

Finding LCM for 100 and 375 using GCF of these numbers

The first method to find LCM for numbers 100 and 375 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 375 is 25, so

LCM = (100 × 375) ÷ 25

LCM = 37500 ÷ 25

LCM = 1500

Finding LCM for 100 and 375 by Listing Multiples

The second method to find LCM for numbers 100 and 375 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

Multiples of 375: 375, 750, 1125, 1500, 1875, 2250

So the LCM for 100 and 375 is 1500

Finding LCM for 100 and 375 by Prime Factorization

Another method to find LCM for numbers 100 and 375 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 375: 3, 5, 5, 5 (exponent form: 31, 53)

22 × 53 × 31 = 1500

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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 375? (The answer is: 1500). Select the first number (e.g. '100') and the second number (e.g. '375'). 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
853756375
8637532250
8737510875
8837533000
8937533375
903752250
9137534125
9237534500
9337511625
9437535250
953757125
9637512000
9737536375
9837536750
9937512375
1003751500
10137537875
10237512750
10337538625
10437539000
1053752625
10637539750
10737540125
10837513500
10937540875
1103758250
11137513875
11237542000
11337542375
11437514250

FAQ

What's the Least Common Multiple (LCM) of 100 and 375?

LCM of 100 and 375 is 1,500

How to find the LCM of 100 and 375 using prime factorization?

To find the LCM of 100 and 375, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,500.

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 375: LCM = 1,500, GCF = 25.

See Also