LCM for 675 and 945

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 637875 ÷ 135

LCM = 4725

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, 1350, 2025, 2700, 3375, 4050, 4725, 5400, 6075

Multiples of 945: 945, 1890, 2835, 3780, 4725, 5670, 6615

So the LCM for 675 and 945 is 4725

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 = 4725

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 675 and 945? (The answer is: 4725). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
66094541580
661945624645
662945625590
663945208845
664945627480
66594517955
66694569930
667945630315
668945631260
669945210735
670945126630
671945634095
67294530240
673945635985
674945636930
6759454725
676945638820
677945639765
678945213570
67994591665
680945128520
681945214515
682945644490
683945645435
68494571820
685945129465
68694592610
687945216405
688945650160
689945651105

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