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

See Also

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

LCM Table

Number 1Number 2LCM
3606001800
361600216600
362600108600
36360072600
36460054600
36560043800
36660036600
367600220200
36860027600
36960073800
37060022200
371600222600
37260018600
373600223800
374600112200
3756003000
37660028200
377600226200
37860037800
379600227400
38060011400
38160076200
382600114600
383600229800
3846009600
38560046200
386600115800
38760077400
38860058200
389600233400

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