LCM for 51 and 58
What's the Least Common Multiple (LCM) of 51 and 58?
(Two thousand, nine hundred fifty-eight)
Finding LCM for 51 and 58 using GCF's of these numbers
The first method to find LCM for numbers 51 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 51 and 58 is 1, so
LCM = (51 × 58) ÷ 1
LCM = 2958 ÷ 1
LCM = 2958
Finding LCM for 51 and 58 by Listing Multiples
The second method to find LCM for numbers 51 and 58 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 51: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918, 969, 1020, 1071, 1122, 1173, 1224, 1275, 1326, 1377, 1428, 1479, 1530, 1581, 1632, 1683, 1734, 1785, 1836, 1887, 1938, 1989, 2040, 2091, 2142, 2193, 2244, 2295, 2346, 2397, 2448, 2499, 2550, 2601, 2652, 2703, 2754, 2805, 2856, 2907, 2958, 3009, 3060
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, 2610, 2668, 2726, 2784, 2842, 2900, 2958, 3016, 3074
So the LCM for 51 and 58 is 2958
Finding LCM for 51 and 58 by Prime Factorization
Another method to find LCM for numbers 51 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 51: 3, 17 (exponent form: 31, 171)
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
31 × 171 × 21 × 291 = 2958
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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