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What is the Least Common Multiple of 43426 and 43443?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 43426 and 43443 is 1886555718.

LCM(43426,43443) = 1886555718

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Least Common Multiple of 43426 and 43443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43426 and 43443, than apply into the LCM equation.

GCF(43426,43443) = 1
LCM(43426,43443) = ( 43426 × 43443) / 1
LCM(43426,43443) = 1886555718 / 1
LCM(43426,43443) = 1886555718

Least Common Multiple (LCM) of 43426 and 43443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43426 and 43443. First we will calculate the prime factors of 43426 and 43443.

Prime Factorization of 43426

Prime factors of 43426 are 2, 21713. Prime factorization of 43426 in exponential form is:

43426 = 21 × 217131

Prime Factorization of 43443

Prime factors of 43443 are 3, 1609. Prime factorization of 43443 in exponential form is:

43443 = 33 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 43426 and 43443.

LCM(43426,43443) = 21 × 217131 × 33 × 16091
LCM(43426,43443) = 1886555718