LCM for 15 and 105

What's the Least Common Multiple (LCM) of 15 and 105?

Answer: LCM of 15 and 105 is 105

(One hundred five)

Finding LCM for 15 and 105 using GCF's of these numbers

The first method to find LCM for numbers 15 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 105 is 15, so

LCM = (15 × 105) ÷ 15

LCM = 1575 ÷ 15

LCM = 105

Finding LCM for 15 and 105 by Listing Multiples

The second method to find LCM for numbers 15 and 105 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, [...], 105

So the LCM for 15 and 105 is 105

Finding LCM for 15 and 105 by Prime Factorization

Another method to find LCM for numbers 15 and 105 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 105: 3, 5, 7 (exponent form: 31, 51, 71)

31 × 51 × 71 = 105

LCM Table

Number 1Number 2LCM
1105105
2105210
3105105
4105420
5105105
6105210
7105105
8105840
9105315
10105
111051155
12105420
131051365
14105210
15105
161051680
171051785
18105630
191051995
20105420
21105105
221052310
231052415
24105840
25105
261052730
27105945
28105
291053045
30105210

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 105? (The answer is: 105). Select the first number (e.g. '15') and the second number (e.g. '105'). 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

FAQ

What's the Least Common Multiple (LCM) of 15 and 105?

LCM of 15 and 105 is 105