LCM for 75 and 200

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What's the Least Common Multiple (LCM) of 75 and 200?

Answer

LCM of 75 and 200 is
600

(Six hundred)

Finding LCM for 75 and 200 using GCF of these numbers

The first method to find LCM for numbers 75 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 200 is 25, so

LCM = (75 × 200) ÷ 25

LCM = 15,000 ÷ 25

LCM = 600

Finding LCM for 75 and 200 by Listing Multiples

The second method to find LCM for numbers 75 and 200 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750

Multiples of 200: 200, 400, 600, 800, 1,000

So the LCM for 75 and 200 is 600

Finding LCM for 75 and 200 by Prime Factorization

Another method to find LCM for numbers 75 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

31 × 52 × 23 = 600

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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 75 and 200? (The answer is: 600). Select the first number (e.g. '75') and the second number (e.g. '200'). 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
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LCM Table

Number 1Number 2LCM
751852,775
751864,650
7518714,025
7518814,100
751894,725
751902,850
7519114,325
751924,800
7519314,475
7519414,550
75195975
7519614,700
7519714,775
751984,950
7519914,925
75200600
752015,025
7520215,150
7520315,225
752045,100
752053,075
7520615,450
752075,175
7520815,600
7520915,675
752101,050
7521115,825
7521215,900
752135,325
7521416,050

FAQ

What's the Least Common Multiple (LCM) of 75 and 200?

LCM of 75 and 200 is 600

How to find the LCM of 75 and 200 using prime factorization?

To find the LCM of 75 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 75 and 200: LCM = 600, GCF = 25.

See Also