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LCM for 6 and 13

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer

LCM of 6 and 13 is 78

(Seventy-eight)

Finding LCM for 6 and 13 using GCF of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 13 is 1, so

LCM = (6 × 13) ÷ 1

LCM = 78 ÷ 1

LCM = 78

Finding LCM for 6 and 13 by Listing Multiples

The second method to find LCM for numbers 6 and 13 is to list out the common multiples for both numbers and pick the first one that matches:

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

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

So the LCM for 6 and 13 is 78

Finding LCM for 6 and 13 by Prime Factorization

Another method to find LCM for numbers 6 and 13 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 13: 13 (exponent form: 131)

21 × 31 × 131 = 78

Related Calculations

See Also

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What is the LCM of 6 and 13?. Find the LCM of 6 and 13 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
11313
21326
31339
41352
51365
61378
71391
813104
913117
1013130
1113143
1213156
131313
1413182
1513195
1613208
1713221
1813234
1913247
2013260
2113273
2213286
2313299
2413312
2513325
261326
2713351
2813364
2913377
3013390

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

and

FAQ

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

LCM of 6 and 13 is 78

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

To find the LCM of 6 and 13, 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 6 and 13: LCM = 78, GCF = 1.

See Also