LCM for 17 and 43
What's the Least Common Multiple (LCM) of 17 and 43?
(Seven hundred thirty-one)
Finding LCM for 17 and 43 using GCF's of these numbers
The first method to find LCM for numbers 17 and 43 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 17 and 43 is 1, so
LCM = (17 × 43) ÷ 1
LCM = 731 ÷ 1
LCM = 731
Finding LCM for 17 and 43 by Listing Multiples
The second method to find LCM for numbers 17 and 43 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, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765
Multiples of 43: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817
So the LCM for 17 and 43 is 731
Finding LCM for 17 and 43 by Prime Factorization
Another method to find LCM for numbers 17 and 43 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 43: 43 (exponent form: 431)
171 × 431 = 731
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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