What is the LCM of 15 and 105?

"Least Common Multiple" Calculator

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

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

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
1	105	105
2	105	210
3	105	105
4	105	420
5	105	105
6	105	210
7	105	105
8	105	840
9	105	315
10	105	210
11	105	1155
12	105	420
13	105	1365
14	105	210
15	105	105
16	105	1680
17	105	1785
18	105	630
19	105	1995
20	105	420
21	105	105
22	105	2310
23	105	2415
24	105	840
25	105	525
26	105	2730
27	105	945
28	105	420
29	105	3045
30	105	210

LCM for 15 and 105

"Least Common Multiple" Calculator

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

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

Finding LCM for 15 and 105 by Listing Multiples

Finding LCM for 15 and 105 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

See Also