LCM for 13 and 23

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 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 numbers and pick the first one that matches:

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

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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 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
12323
22346
32369
42392
523115
623138
723161
823184
923207
1023230
1123253
1223276
1323299
1423322
1523345
1623368
1723391
1823414
1923437
2023460
2123483
2223506
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

How to find the LCM of 13 and 23 using prime factorization?

To find the LCM of 13 and 23, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 299.

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 23: LCM = 299, GCF = 1.

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