LCM for 43 and 46

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What's the Least Common Multiple (LCM) of 43 and 46?

Answer

LCM of 43 and 46 is
1,978

(One thousand nine hundred seventy-eight)

Finding LCM for 43 and 46 using GCF of these numbers

The first method to find LCM for numbers 43 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 43 and 46 is 1, so

LCM = (43 × 46) ÷ 1

LCM = 1,978 ÷ 1

LCM = 1,978

Finding LCM for 43 and 46 by Listing Multiples

The second method to find LCM for numbers 43 and 46 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

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472, 1518, 1564, 1610, 1656, 1702, 1748, 1794, 1840, 1886, 1932, 1978, 2024, 2070

So the LCM for 43 and 46 is 1,978

Finding LCM for 43 and 46 by Prime Factorization

Another method to find LCM for numbers 43 and 46 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 46: 2, 23 (exponent form: 21, 231)

431 × 21 × 231 = 1,978

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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 46? (The answer is: 1,978). Select the first number (e.g. '43') and the second number (e.g. '46'). 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
43311,333
43321,376
43331,419
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

FAQ

What's the Least Common Multiple (LCM) of 43 and 46?

LCM of 43 and 46 is 1,978

How to find the LCM of 43 and 46 using prime factorization?

To find the LCM of 43 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,978.

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 46: LCM = 1,978, GCF = 1.

See Also