LCM for 39 and 55
What's the Least Common Multiple (LCM) of 39 and 55?
(Two thousand, one hundred forty-five)
Finding LCM for 39 and 55 using GCF's of these numbers
The first method to find LCM for numbers 39 and 55 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 55 is 1, so
LCM = (39 × 55) ÷ 1
LCM = 2145 ÷ 1
LCM = 2145
Finding LCM for 39 and 55 by Listing Multiples
The second method to find LCM for numbers 39 and 55 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911, 1950, 1989, 2028, 2067, 2106, 2145, 2184, 2223
Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935, 990, 1045, 1100, 1155, 1210, 1265, 1320, 1375, 1430, 1485, 1540, 1595, 1650, 1705, 1760, 1815, 1870, 1925, 1980, 2035, 2090, 2145, 2200, 2255
So the LCM for 39 and 55 is 2145
Finding LCM for 39 and 55 by Prime Factorization
Another method to find LCM for numbers 39 and 55 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 55: 5, 11 (exponent form: 51, 111)
31 × 131 × 51 × 111 = 2145
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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