LCM for 13 and 23

What's the Least Common Multiple (LCM) of 13 and 23?

Answer: LCM of 13 and 23 is 299

(Two hundred ninety-nine)

Finding LCM for 13 and 23 using GCF's of these numbers

The first method to find LCM for numbers 13 and 23 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 13 and 23 is 1, so

LCM = (13 × 23) ÷ 1

LCM = 299 ÷ 1

LCM = 299

Finding LCM for 13 and 23 by Listing Multiples

The second method to find LCM for numbers 13 and 23 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, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325

Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345

So the LCM for 13 and 23 is 299

Finding LCM for 13 and 23 by Prime Factorization

Another method to find LCM for numbers 13 and 23 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 23: 23 (exponent form: 231)

131 × 231 = 299

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 23? (The answer is: 299). Select the first number (e.g. '13') and the second number (e.g. '23'). 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
12323
22346
323
42392
523115
623138
723161
823184
923207
1023
1123
1223276
1323
1423322
1523345
1623368
1723391
1823414
1923437
2023
2123
2223
232323
2423552
2523575
2623598
2723621
2823644
2923667
3023690

FAQ

What's the Least Common Multiple (LCM) of 13 and 23?

LCM of 13 and 23 is 299