LCM for 675 and 945

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What's the Least Common Multiple (LCM) of 675 and 945?

Answer

LCM of 675 and 945 is
4,725

(Four thousand seven hundred twenty-five)

Finding LCM for 675 and 945 using GCF of these numbers

The first method to find LCM for numbers 675 and 945 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 675 and 945 is 135, so

LCM = (675 × 945) ÷ 135

LCM = 637,875 ÷ 135

LCM = 4,725

Finding LCM for 675 and 945 by Listing Multiples

The second method to find LCM for numbers 675 and 945 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

Multiples of 945: 945, 1,890, 2,835, 3,780, 4,725, 5,670, 6,615

So the LCM for 675 and 945 is 4,725

Finding LCM for 675 and 945 by Prime Factorization

Another method to find LCM for numbers 675 and 945 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 945: 3, 3, 3, 5, 7 (exponent form: 33, 51, 71)

33 × 52 × 71 = 4,725

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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 945? (The answer is: 4,725). Select the first number (e.g. '675') and the second number (e.g. '945'). 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
67593041,850
675931628,425
675932629,100
675933209,925
675934630,450
675935126,225
67593670,200
675937632,475
675938633,150
675939211,275
675940126,900
675941635,175
675942211,950
675943636,525
675944637,200
6759454,725
675946638,550
675947639,225
675948213,300
675949640,575
67595025,650
675951213,975
675952642,600
675953643,275
67595471,550
675955128,925
675956645,300
675957215,325
675958646,650
675959647,325

FAQ

What's the Least Common Multiple (LCM) of 675 and 945?

LCM of 675 and 945 is 4,725

How to find the LCM of 675 and 945 using prime factorization?

To find the LCM of 675 and 945, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,725.

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 945: LCM = 4,725, GCF = 135.

See Also