LCM for 13 and 6

What's the Least Common Multiple (LCM) of 13 and 6?

Answer: LCM of 13 and 6 is 78

(Seventy-eight)

Finding LCM for 13 and 6 using GCF's of these numbers

The first method to find LCM for numbers 13 and 6 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 13 and 6 is 1, so

LCM = (13 × 6) ÷ 1

LCM = 78 ÷ 1

LCM = 78

Finding LCM for 13 and 6 by Listing Multiples

The second method to find LCM for numbers 13 and 6 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90

So the LCM for 13 and 6 is 78

Finding LCM for 13 and 6 by Prime Factorization

Another method to find LCM for numbers 13 and 6 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 13: 13 (exponent form: 131)

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

131 × 21 × 31 = 78

See Also

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 13 and 6? (The answer is: 78). Select the first number (e.g. '13') and the second number (e.g. '6'). 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

LCM Table

Number 1Number 2LCM
16
26
36
46
56
666
7642
86
96
10630
11666
12612
136
14642
15630
16648
176102
18618
196114
20660
21642
22666
236138
24624
256150
26678
27654
28684
296174
30630

FAQ

What's the Least Common Multiple (LCM) of 13 and 6?

LCM of 13 and 6 is 78