LCM for 43 and 49

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What's the Least Common Multiple (LCM) of 43 and 49?

Answer

LCM of 43 and 49 is
2,107

(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 = 2,107 ÷ 1

LCM = 2,107

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 2,107

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 = 2,107

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 43 and 49? (The answer is: 2,107). Select the first number (e.g. '43') and the second number (e.g. '49'). After that hit the 'Calculate' button.
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
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LCM Table

Number 1Number 2LCM
43341,462
43351,505
43361,548
43371,591
43381,634
43391,677
43401,720
43411,763
43421,806
434343
43441,892
43451,935
43461,978
43472,021
43482,064
43492,107
43502,150
43512,193
43522,236
43532,279
43542,322
43552,365
43562,408
43572,451
43582,494
43592,537
43602,580
43612,623
43622,666
43632,709

FAQ

What's the Least Common Multiple (LCM) of 43 and 49?

LCM of 43 and 49 is 2,107

How to find the LCM of 43 and 49 using prime factorization?

To find the LCM of 43 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,107.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 43 and 49: LCM = 2,107, GCF = 1.

See Also