LCM for 15 and 45

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 15 and 45?

Answer

LCM of 15 and 45 is 45

(Forty-five)

Finding LCM for 15 and 45 using GCF of these numbers

The first method to find LCM for numbers 15 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 45 is 15, so

LCM = (15 × 45) ÷ 15

LCM = 675 ÷ 15

LCM = 45

Finding LCM for 15 and 45 by Listing Multiples

The second method to find LCM for numbers 15 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 15: 15, 30, 45, 60, 75

Multiples of 45: 45, 90, 135

So the LCM for 15 and 45 is 45

Finding LCM for 15 and 45 by Prime Factorization

Another method to find LCM for numbers 15 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

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

32 × 51 = 45

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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 15 and 45? (The answer is: 45). Select the first number (e.g. '15') and the second number (e.g. '45'). 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 1 Number 2 LCM
1 45 45
2 45 90
3 45 45
4 45 180
5 45 45
6 45 90
7 45 315
8 45 360
9 45 45
10 45 90
11 45 495
12 45 180
13 45 585
14 45 630
15 45 45
16 45 720
17 45 765
18 45 90
19 45 855
20 45 180
21 45 315
22 45 990
23 45 1035
24 45 360
25 45 225
26 45 1170
27 45 135
28 45 1260
29 45 1305
30 45 90

FAQ

What's the Least Common Multiple (LCM) of 15 and 45?
LCM of 15 and 45 is 45

How to find the LCM of 15 and 45 using prime factorization?
To find the LCM of 15 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 45.

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 15 and 45: LCM = 45, GCF = 15.

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