LCM for 675 and 825

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What's the Least Common Multiple (LCM) of 675 and 825?

Answer

LCM of 675 and 825 is
7,425

(Seven thousand four hundred twenty-five)

Finding LCM for 675 and 825 using GCF of these numbers

The first method to find LCM for numbers 675 and 825 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 675 and 825 is 75, so

LCM = (675 × 825) ÷ 75

LCM = 556,875 ÷ 75

LCM = 7,425

Finding LCM for 675 and 825 by Listing Multiples

The second method to find LCM for numbers 675 and 825 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 675: 675, 1,350, 2,025, 2,700, 3,375, 4,050, 4,725, 5,400, 6,075, 6,750, 7,425, 8,100, 8,775

Multiples of 825: 825, 1,650, 2,475, 3,300, 4,125, 4,950, 5,775, 6,600, 7,425, 8,250, 9,075

So the LCM for 675 and 825 is 7,425

Finding LCM for 675 and 825 by Prime Factorization

Another method to find LCM for numbers 675 and 825 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 675: 3, 3, 3, 5, 5 (exponent form: 33, 52)

All Prime Factors of 825: 3, 5, 5, 11 (exponent form: 31, 52, 111)

33 × 52 × 111 = 7,425

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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 675 and 825? (The answer is: 7,425). Select the first number (e.g. '675') and the second number (e.g. '825'). 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
6758104,050
675811547,425
675812548,100
675813182,925
675814549,450
675815110,025
675816183,600
675817551,475
675818552,150
67581961,425
675820110,700
675821554,175
675822184,950
675823555,525
675824556,200
6758257,425
675826557,550
675827558,225
67582862,100
675829559,575
675830112,050
675831186,975
675832561,600
675833562,275
675834187,650
675835112,725
675836564,300
67583720,925
675838565,650
675839566,325

FAQ

What's the Least Common Multiple (LCM) of 675 and 825?

LCM of 675 and 825 is 7,425

How to find the LCM of 675 and 825 using prime factorization?

To find the LCM of 675 and 825, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,425.

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 675 and 825: LCM = 7,425, GCF = 75.

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