LCM for 17 and 21
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 17 and 21?
(Three hundred fifty-seven)
Finding LCM for 17 and 21 using GCF's of these numbers
The first method to find LCM for numbers 17 and 21 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 17 and 21 is 1, so
LCM = (17 × 21) ÷ 1
LCM = 357 ÷ 1
LCM = 357
Finding LCM for 17 and 21 by Listing Multiples
The second method to find LCM for numbers 17 and 21 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
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399
So the LCM for 17 and 21 is 357
Finding LCM for 17 and 21 by Prime Factorization
Another method to find LCM for numbers 17 and 21 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 21: 3, 7 (exponent form: 31, 71)
171 × 31 × 71 = 357
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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
"Least Common Multiple" Calculator
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What's the Least Common Multiple (LCM) of 17 and 21?
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- Наименьшее общее кратное 17 и 21