LCM for 375 and 600

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What's the Least Common Multiple (LCM) of 375 and 600?

Answer

LCM of 375 and 600 is
3,000

(Three thousand)

Finding LCM for 375 and 600 using GCF of these numbers

The first method to find LCM for numbers 375 and 600 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 375 and 600 is 75, so

LCM = (375 × 600) ÷ 75

LCM = 225,000 ÷ 75

LCM = 3,000

Finding LCM for 375 and 600 by Listing Multiples

The second method to find LCM for numbers 375 and 600 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 375: 375, 750, 1,125, 1,500, 1,875, 2,250, 2,625, 3,000, 3,375, 3,750

Multiples of 600: 600, 1,200, 1,800, 2,400, 3,000, 3,600, 4,200

So the LCM for 375 and 600 is 3,000

Finding LCM for 375 and 600 by Prime Factorization

Another method to find LCM for numbers 375 and 600 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 375: 3, 5, 5, 5 (exponent form: 31, 53)

All Prime Factors of 600: 2, 2, 2, 3, 5, 5 (exponent form: 23, 31, 52)

31 × 53 × 23 = 3,000

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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 375 and 600? (The answer is: 3,000). Select the first number (e.g. '375') and the second number (e.g. '600'). 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
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LCM Table

Number 1Number 2LCM
37558514,625
375586219,750
375587220,125
37558873,500
375589220,875
37559044,250
37559173,875
375592222,000
375593222,375
37559474,250
37559544,625
375596223,500
37559774,625
375598224,250
375599224,625
3756003,000
375601225,375
375602225,750
37560375,375
375604226,500
37560545,375
37560675,750
375607227,625
375608228,000
37560976,125
37561045,750
375611229,125
37561276,500
375613229,875
375614230,250

FAQ

What's the Least Common Multiple (LCM) of 375 and 600?

LCM of 375 and 600 is 3,000

How to find the LCM of 375 and 600 using prime factorization?

To find the LCM of 375 and 600, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,000.

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 375 and 600: LCM = 3,000, GCF = 75.

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