LCM for 10 and 13

What's the Least Common Multiple (LCM) of 10 and 13?

Answer: LCM of 10 and 13 is 130

(One hundred thirty)

Finding LCM for 10 and 13 using GCF's of these numbers

The first method to find LCM for numbers 10 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 13 is 1, so

LCM = (10 × 13) ÷ 1

LCM = 130 ÷ 1

LCM = 130

Finding LCM for 10 and 13 by Listing Multiples

The second method to find LCM for numbers 10 and 13 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150

Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156

So the LCM for 10 and 13 is 130

Finding LCM for 10 and 13 by Prime Factorization

Another method to find LCM for numbers 10 and 13 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

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

21 × 51 × 131 = 130

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 10 and 13? (The answer is: 130). Select the first number (e.g. '10') 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

LCM Table

Number 1Number 2LCM
11313
213
313
413
513
613
713
813
913
1013
1113
1213
131313
1413182
1513195
1613208
1713221
1813234
1913247
2013260
2113273
2213286
2313299
2413312
2513325
261326
2713351
2813364
2913377
3013390

FAQ

What's the Least Common Multiple (LCM) of 10 and 13?

LCM of 10 and 13 is 130