LCM for 31 and 65
What's the Least Common Multiple (LCM) of 31 and 65?
(Two thousand, fifteen)
Finding LCM for 31 and 65 using GCF's of these numbers
The first method to find LCM for numbers 31 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 31 and 65 is 1, so
LCM = (31 × 65) ÷ 1
LCM = 2015 ÷ 1
LCM = 2015
Finding LCM for 31 and 65 by Listing Multiples
The second method to find LCM for numbers 31 and 65 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705, 1736, 1767, 1798, 1829, 1860, 1891, 1922, 1953, 1984, 2015, 2046, 2077
Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715, 780, 845, 910, 975, 1040, 1105, 1170, 1235, 1300, 1365, 1430, 1495, 1560, 1625, 1690, 1755, 1820, 1885, 1950, 2015, 2080, 2145
So the LCM for 31 and 65 is 2015
Finding LCM for 31 and 65 by Prime Factorization
Another method to find LCM for numbers 31 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 31: 31 (exponent form: 311)
All Prime Factors of 65: 5, 13 (exponent form: 51, 131)
311 × 51 × 131 = 2015
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/31--65">What is the LCM of 31 and 65? - 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