LCM for 17 and 24
What's the Least Common Multiple (LCM) of 17 and 24?
(Four hundred eight)
Finding LCM for 17 and 24 using GCF's of these numbers
The first method to find LCM for numbers 17 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 17 and 24 is 1, so
LCM = (17 × 24) ÷ 1
LCM = 408 ÷ 1
LCM = 408
Finding LCM for 17 and 24 by Listing Multiples
The second method to find LCM for numbers 17 and 24 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456
So the LCM for 17 and 24 is 408
Finding LCM for 17 and 24 by Prime Factorization
Another method to find LCM for numbers 17 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 17: 17 (exponent form: 171)
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
171 × 23 × 31 = 408
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/17--24">What is the LCM of 17 and 24? - Calculatio</a>
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