LCM for 39 and 43
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 39 and 43?
Answer
(One thousand, six hundred seventy-seven)
Finding LCM for 39 and 43 using GCF of these numbers
The first method to find LCM for numbers 39 and 43 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 43 is 1, so
LCM = (39 × 43) ÷ 1
LCM = 1677 ÷ 1
LCM = 1677
Finding LCM for 39 and 43 by Listing Multiples
The second method to find LCM for numbers 39 and 43 is to list out the common multiples for both numbers and pick the first one that matches:
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
Multiples of 43: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, 903, 946, 989, 1032, 1075, 1118, 1161, 1204, 1247, 1290, 1333, 1376, 1419, 1462, 1505, 1548, 1591, 1634, 1677, 1720, 1763
So the LCM for 39 and 43 is 1677
Finding LCM for 39 and 43 by Prime Factorization
Another method to find LCM for numbers 39 and 43 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 43: 43 (exponent form: 431)
31 × 131 × 431 = 1677
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 39 and 43?
How to find the LCM of 39 and 43 using prime factorization?
What is the difference between LCM and GCF?
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