What is the LCM of 15 and 20?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 15 and 20?

Answer: LCM of 15 and 20 is 60

(Sixty)

Finding LCM for 15 and 20 using GCF's of these numbers

The first method to find LCM for numbers 15 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 20 is 5, so

LCM = (15 × 20) ÷ 5

LCM = 300 ÷ 5

LCM = 60

Finding LCM for 15 and 20 by Listing Multiples

The second method to find LCM for numbers 15 and 20 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

Multiples of 20: 20, 40, 60, 80, 100

So the LCM for 15 and 20 is 60

Finding LCM for 15 and 20 by Prime Factorization

Another method to find LCM for numbers 15 and 20 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 20: 2, 2, 5 (exponent form: 2², 5¹)

3¹ × 5¹ × 2² = 60

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 15 and 20? (The answer is: 60). Select the first number (e.g. '15') and the second number (e.g. '20'). 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	20	20
2	20	20
3	20	60
4	20	20
5	20	20
6	20	60
7	20	140
8	20	40
9	20	180
10	20	20
11	20	220
12	20	60
13	20	260
14	20	140
15	20	60
16	20	80
17	20	340
18	20	180
19	20	380
20	20	20
21	20	420
22	20	220
23	20	460
24	20	120
25	20	100
26	20	260
27	20	540
28	20	140
29	20	580
30	20	60

LCM for 15 and 20

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 15 and 20?

Finding LCM for 15 and 20 using GCF's of these numbers

Finding LCM for 15 and 20 by Listing Multiples

Finding LCM for 15 and 20 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 15 and 20?

See Also

Number 1	Number 2	LCM
1	20	20
2	20	20
3	20	60
4	20	20
5	20	20
6	20	60
7	20	140
8	20	40
9	20	180
10	20	20
11	20	220
12	20	60
13	20	260
14	20	140
15	20	60
16	20	80
17	20	340
18	20	180
19	20	380
20	20	20
21	20	420
22	20	220
23	20	460
24	20	120
25	20	100
26	20	260
27	20	540
28	20	140
29	20	580
30	20	60

Number 1	Number 2	LCM
1	20	20
2	20	20
3	20	60
4	20	20
5	20	20
6	20	60
7	20	140
8	20	40
9	20	180
10	20	20
11	20	220
12	20	60
13	20	260
14	20	140
15	20	60
16	20	80
17	20	340
18	20	180
19	20	380
20	20	20
21	20	420
22	20	220
23	20	460
24	20	120
25	20	100
26	20	260
27	20	540
28	20	140
29	20	580
30	20	60

Number 1	Number 2	LCM
1	20	20
2	20	20
3	20	60
4	20	20
5	20	20
6	20	60
7	20	140
8	20	40
9	20	180
10	20	20
11	20	220
12	20	60
13	20	260
14	20	140
15	20	60
16	20	80
17	20	340
18	20	180
19	20	380
20	20	20
21	20	420
22	20	220
23	20	460
24	20	120
25	20	100
26	20	260
27	20	540
28	20	140
29	20	580
30	20	60