What is the LCM of 3 and 10?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 3 and 10?

Answer: LCM of 3 and 10 is 30

(Thirty)

Finding LCM for 3 and 10 using GCF's of these numbers

The first method to find LCM for numbers 3 and 10 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 10 is 1, so

LCM = (3 × 10) ÷ 1

LCM = 30 ÷ 1

LCM = 30

Finding LCM for 3 and 10 by Listing Multiples

The second method to find LCM for numbers 3 and 10 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

Multiples of 10: 10, 20, 30, 40, 50

So the LCM for 3 and 10 is 30

Finding LCM for 3 and 10 by Prime Factorization

Another method to find LCM for numbers 3 and 10 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 3: 3 (exponent form: 3¹)

All Prime Factors of 10: 2, 5 (exponent form: 2¹, 5¹)

3¹ × 2¹ × 5¹ = 30

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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 3 and 10? (The answer is: 30). Select the first number (e.g. '3') and the second number (e.g. '10'). 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	10	10
2	10	10
3	10	30
4	10	20
5	10	10
6	10	30
7	10	70
8	10	40
9	10	90
10	10	10
11	10	110
12	10	60
13	10	130
14	10	70
15	10	30
16	10	80
17	10	170
18	10	90
19	10	190
20	10	20
21	10	210
22	10	110
23	10	230
24	10	120
25	10	50
26	10	130
27	10	270
28	10	140
29	10	290
30	10	30

LCM for 3 and 10

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 3 and 10?

Finding LCM for 3 and 10 using GCF's of these numbers

Finding LCM for 3 and 10 by Listing Multiples

Finding LCM for 3 and 10 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 3 and 10?

See Also

Number 1	Number 2	LCM
1	10	10
2	10	10
3	10	30
4	10	20
5	10	10
6	10	30
7	10	70
8	10	40
9	10	90
10	10	10
11	10	110
12	10	60
13	10	130
14	10	70
15	10	30
16	10	80
17	10	170
18	10	90
19	10	190
20	10	20
21	10	210
22	10	110
23	10	230
24	10	120
25	10	50
26	10	130
27	10	270
28	10	140
29	10	290
30	10	30

Number 1	Number 2	LCM
1	10	10
2	10	10
3	10	30
4	10	20
5	10	10
6	10	30
7	10	70
8	10	40
9	10	90
10	10	10
11	10	110
12	10	60
13	10	130
14	10	70
15	10	30
16	10	80
17	10	170
18	10	90
19	10	190
20	10	20
21	10	210
22	10	110
23	10	230
24	10	120
25	10	50
26	10	130
27	10	270
28	10	140
29	10	290
30	10	30

Number 1	Number 2	LCM
1	10	10
2	10	10
3	10	30
4	10	20
5	10	10
6	10	30
7	10	70
8	10	40
9	10	90
10	10	10
11	10	110
12	10	60
13	10	130
14	10	70
15	10	30
16	10	80
17	10	170
18	10	90
19	10	190
20	10	20
21	10	210
22	10	110
23	10	230
24	10	120
25	10	50
26	10	130
27	10	270
28	10	140
29	10	290
30	10	30