LCM for 13 and 6

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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 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 numbers and pick the first one that matches:

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

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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 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
"Least Common Multiple" Calculator
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
13678
138104
1314182
1315195
1316208
1317221
1318234
1319247
1320260
1321273
1322286
1323299
1324312
132626
1327351
1329377
1330390
1334442
1335455
1337481
133939
1340520
1341533
1342546
1344572
1345585
1347611
1349637
1350650
135252

FAQ

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

LCM of 13 and 6 is 78

How to find the LCM of 13 and 6 using prime factorization?

To find the LCM of 13 and 6, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 78.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 13 and 6: LCM = 78, GCF = 1.

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