LCM for 14 and 65
What's the Least Common Multiple (LCM) of 14 and 65?
(Nine hundred ten)
Finding LCM for 14 and 65 using GCF's of these numbers
The first method to find LCM for numbers 14 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 65 is 1, so
LCM = (14 × 65) ÷ 1
LCM = 910 ÷ 1
LCM = 910
Finding LCM for 14 and 65 by Listing Multiples
The second method to find LCM for numbers 14 and 65 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728, 742, 756, 770, 784, 798, 812, 826, 840, 854, 868, 882, 896, 910, 924, 938
Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715, 780, 845, 910, 975, 1040
So the LCM for 14 and 65 is 910
Finding LCM for 14 and 65 by Prime Factorization
Another method to find LCM for numbers 14 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 65: 5, 13 (exponent form: 51, 131)
21 × 71 × 51 × 131 = 910
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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