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What is the Least Common Multiple of 43718 and 43735?

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 43718 and 43735 is 1912006730.

LCM(43718,43735) = 1912006730

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Least Common Multiple of 43718 and 43735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43718 and 43735, than apply into the LCM equation.

GCF(43718,43735) = 1
LCM(43718,43735) = ( 43718 × 43735) / 1
LCM(43718,43735) = 1912006730 / 1
LCM(43718,43735) = 1912006730

Least Common Multiple (LCM) of 43718 and 43735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43718 and 43735. First we will calculate the prime factors of 43718 and 43735.

Prime Factorization of 43718

Prime factors of 43718 are 2, 21859. Prime factorization of 43718 in exponential form is:

43718 = 21 × 218591

Prime Factorization of 43735

Prime factors of 43735 are 5, 8747. Prime factorization of 43735 in exponential form is:

43735 = 51 × 87471

Now multiplying the highest exponent prime factors to calculate the LCM of 43718 and 43735.

LCM(43718,43735) = 21 × 218591 × 51 × 87471
LCM(43718,43735) = 1912006730