LCM for 29 and 85
What's the Least Common Multiple (LCM) of 29 and 85?
(Two thousand, four hundred sixty-five)
Finding LCM for 29 and 85 using GCF's of these numbers
The first method to find LCM for numbers 29 and 85 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 29 and 85 is 1, so
LCM = (29 × 85) ÷ 1
LCM = 2465 ÷ 1
LCM = 2465
Finding LCM for 29 and 85 by Listing Multiples
The second method to find LCM for numbers 29 and 85 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 29: 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928, 957, 986, 1015, 1044, 1073, 1102, 1131, 1160, 1189, 1218, 1247, 1276, 1305, 1334, 1363, 1392, 1421, 1450, 1479, 1508, 1537, 1566, 1595, 1624, 1653, 1682, 1711, 1740, 1769, 1798, 1827, 1856, 1885, 1914, 1943, 1972, 2001, 2030, 2059, 2088, 2117, 2146, 2175, 2204, 2233, 2262, 2291, 2320, 2349, 2378, 2407, 2436, 2465, 2494, 2523
Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1020, 1105, 1190, 1275, 1360, 1445, 1530, 1615, 1700, 1785, 1870, 1955, 2040, 2125, 2210, 2295, 2380, 2465, 2550, 2635
So the LCM for 29 and 85 is 2465
Finding LCM for 29 and 85 by Prime Factorization
Another method to find LCM for numbers 29 and 85 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 29: 29 (exponent form: 291)
All Prime Factors of 85: 5, 17 (exponent form: 51, 171)
291 × 51 × 171 = 2465
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/29--85">What is the LCM of 29 and 85? - 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