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LCM for 375 and 600

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 225000 ÷ 75

LCM = 3000

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, 1125, 1500, 1875, 2250, 2625, 3000, 3375, 3750

Multiples of 600: 600, 1200, 1800, 2400, 3000, 3600, 4200

So the LCM for 375 and 600 is 3000

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 = 3000

Related Calculations

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What is the LCM of 375 and 600?. The LCM of 375 and 600 is 3000 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
37558514625
375586219750
375587220125
37558873500
375589220875
37559044250
37559173875
375592222000
375593222375
37559474250
37559544625
375596223500
37559774625
375598224250
375599224625
3756003000
375601225375
375602225750
37560375375
375604226500
37560545375
37560675750
375607227625
375608228000
37560976125
37561045750
375611229125
37561276500
375613229875
375614230250

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: 3000). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

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.

See Also