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
67593041850
675931628425
675932629100
675933209925
675934630450
675935126225
67593670200
675937632475
675938633150
675939211275
675940126900
675941635175
675942211950
675943636525
675944637200
6759454725
675946638550
675947639225
675948213300
675949640575
67595025650
675951213975
675952642600
675953643275
67595471550
675955128925
675956645300
675957215325
675958646650
675959647325

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