What is the LCM of 6 and 15?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 15?

Answer: LCM of 6 and 15 is 30

(Thirty)

Finding LCM for 6 and 15 using GCF's of these numbers

The first method to find LCM for numbers 6 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 15 is 3, so

LCM = (6 × 15) ÷ 3

LCM = 90 ÷ 3

LCM = 30

Finding LCM for 6 and 15 by Listing Multiples

The second method to find LCM for numbers 6 and 15 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42

Multiples of 15: 15, 30, 45, 60

So the LCM for 6 and 15 is 30

Finding LCM for 6 and 15 by Prime Factorization

Another method to find LCM for numbers 6 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 2¹, 3¹)

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

2¹ × 3¹ × 5¹ = 30

Related Calculations

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 6 and 15? (The answer is: 30). Select the first number (e.g. '6') and the second number (e.g. '15'). 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	15	15
2	15	30
3	15	15
4	15	60
5	15	15
6	15	30
7	15	105
8	15	120
9	15	45
10	15	30
11	15	165
12	15	60
13	15	195
14	15	210
15	15	15
16	15	240
17	15	255
18	15	90
19	15	285
20	15	60
21	15	105
22	15	330
23	15	345
24	15	120
25	15	75
26	15	390
27	15	135
28	15	420
29	15	435
30	15	30

LCM for 6 and 15

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 15?

Finding LCM for 6 and 15 using GCF's of these numbers

Finding LCM for 6 and 15 by Listing Multiples

Finding LCM for 6 and 15 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 15?

See Also

Number 1	Number 2	LCM
1	15	15
2	15	30
3	15	15
4	15	60
5	15	15
6	15	30
7	15	105
8	15	120
9	15	45
10	15	30
11	15	165
12	15	60
13	15	195
14	15	210
15	15	15
16	15	240
17	15	255
18	15	90
19	15	285
20	15	60
21	15	105
22	15	330
23	15	345
24	15	120
25	15	75
26	15	390
27	15	135
28	15	420
29	15	435
30	15	30

Number 1	Number 2	LCM
1	15	15
2	15	30
3	15	15
4	15	60
5	15	15
6	15	30
7	15	105
8	15	120
9	15	45
10	15	30
11	15	165
12	15	60
13	15	195
14	15	210
15	15	15
16	15	240
17	15	255
18	15	90
19	15	285
20	15	60
21	15	105
22	15	330
23	15	345
24	15	120
25	15	75
26	15	390
27	15	135
28	15	420
29	15	435
30	15	30

Number 1	Number 2	LCM
1	15	15
2	15	30
3	15	15
4	15	60
5	15	15
6	15	30
7	15	105
8	15	120
9	15	45
10	15	30
11	15	165
12	15	60
13	15	195
14	15	210
15	15	15
16	15	240
17	15	255
18	15	90
19	15	285
20	15	60
21	15	105
22	15	330
23	15	345
24	15	120
25	15	75
26	15	390
27	15	135
28	15	420
29	15	435
30	15	30