LCM for 58 and 84
What's the Least Common Multiple (LCM) of 58 and 84?
(Two thousand, four hundred thirty-six)
Finding LCM for 58 and 84 using GCF's of these numbers
The first method to find LCM for numbers 58 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 58 and 84 is 2, so
LCM = (58 × 84) ÷ 2
LCM = 4872 ÷ 2
LCM = 2436
Finding LCM for 58 and 84 by Listing Multiples
The second method to find LCM for numbers 58 and 84 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334, 1392, 1450, 1508, 1566, 1624, 1682, 1740, 1798, 1856, 1914, 1972, 2030, 2088, 2146, 2204, 2262, 2320, 2378, 2436, 2494, 2552
Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268, 2352, 2436, 2520, 2604
So the LCM for 58 and 84 is 2436
Finding LCM for 58 and 84 by Prime Factorization
Another method to find LCM for numbers 58 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)
22 × 291 × 31 × 71 = 2436
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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