LCM for 45 and 75

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 75?

Answer: LCM of 45 and 75 is 225

(Two hundred twenty-five)

Finding LCM for 45 and 75 using GCF's of these numbers

The first method to find LCM for numbers 45 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 75 is 15, so

LCM = (45 × 75) ÷ 15

LCM = 3375 ÷ 15

LCM = 225

Finding LCM for 45 and 75 by Listing Multiples

The second method to find LCM for numbers 45 and 75 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315

Multiples of 75: 75, 150, 225, 300, 375

So the LCM for 45 and 75 is 225

Finding LCM for 45 and 75 by Prime Factorization

Another method to find LCM for numbers 45 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

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

32 × 52 = 225

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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 45 and 75? (The answer is: 225). Select the first number (e.g. '45') and the second number (e.g. '75'). 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
3075150
31752325
32752400
3375825
34752550
3575525
3675900
37752775
38752850
3975975
4075600
41753075
42751050
43753225
44753300
4575225
46753450
47753525
48751200
49753675
5075150
51751275
52753900
53753975
54751350
5575825
56754200
57751425
58754350
59754425

FAQ

What's the Least Common Multiple (LCM) of 45 and 75?

LCM of 45 and 75 is 225

See Also