LCM for 13 and 24
What's the Least Common Multiple (LCM) of 13 and 24?
(Three hundred twelve)
Finding LCM for 13 and 24 using GCF's of these numbers
The first method to find LCM for numbers 13 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 24 is 1, so
LCM = (13 × 24) ÷ 1
LCM = 312 ÷ 1
LCM = 312
Finding LCM for 13 and 24 by Listing Multiples
The second method to find LCM for numbers 13 and 24 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, 338
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360
So the LCM for 13 and 24 is 312
Finding LCM for 13 and 24 by Prime Factorization
Another method to find LCM for numbers 13 and 24 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 24: 2, 2, 2, 3 (exponent form: 23, 31)
131 × 23 × 31 = 312
Related Calculations
LCM Table
About "Least Common Multiple" Calculator
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