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

First common multiples: 1,978; 3,956; 5,934; …

1,978 is divisible by both: 1,978 ÷ 43 = 46; 1,978 ÷ 46 = 43 — and 46 and 43 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/43 by 46 and of y/46 by 43.

43 and 46 are coprime (GCF = 1), so their LCM is simply the product: 43 × 46 = 1,978.

43 — prime

46 = 2 × 23

Prime4346Highest power
2—22
23—2323
4343—43

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 23 × 43 = 1,978

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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