LCM for 43 and 49
What's the Least Common Multiple (LCM) of 43 and 49?
Answer
(Two thousand, one hundred seven)
Finding LCM for 43 and 49 using GCF of these numbers
The first method to find LCM for numbers 43 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 43 and 49 is 1, so
LCM = (43 × 49) ÷ 1
LCM = 2107 ÷ 1
LCM = 2107
Finding LCM for 43 and 49 by Listing Multiples
The second method to find LCM for numbers 43 and 49 is to list out the common multiples for both numbers and pick the first one that matches:
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, 1806, 1849, 1892, 1935, 1978, 2021, 2064, 2107, 2150, 2193
Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205
So the LCM for 43 and 49 is 2107
Finding LCM for 43 and 49 by Prime Factorization
Another method to find LCM for numbers 43 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 43: 43 (exponent form: 431)
All Prime Factors of 49: 7, 7 (exponent form: 72)
431 × 72 = 2107
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/43--49">What is the LCM of 43 and 49? - 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