LCM for 23 and 36
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 23 and 36?
(Eight hundred twenty-eight)
Finding LCM for 23 and 36 using GCF's of these numbers
The first method to find LCM for numbers 23 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 23 and 36 is 1, so
LCM = (23 × 36) ÷ 1
LCM = 828 ÷ 1
LCM = 828
Finding LCM for 23 and 36 by Listing Multiples
The second method to find LCM for numbers 23 and 36 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900
So the LCM for 23 and 36 is 828
Finding LCM for 23 and 36 by Prime Factorization
Another method to find LCM for numbers 23 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 23: 23 (exponent form: 231)
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
231 × 22 × 32 = 828
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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
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What's the Least Common Multiple (LCM) of 23 and 36?
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- Наименьшее общее кратное 23 и 36