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What is the Least Common Multiple of 41812 and 41816?

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 41812 and 41816 is 437102648.

LCM(41812,41816) = 437102648

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Least Common Multiple of 41812 and 41816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41812 and 41816, than apply into the LCM equation.

GCF(41812,41816) = 4
LCM(41812,41816) = ( 41812 × 41816) / 4
LCM(41812,41816) = 1748410592 / 4
LCM(41812,41816) = 437102648

Least Common Multiple (LCM) of 41812 and 41816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41812 and 41816. First we will calculate the prime factors of 41812 and 41816.

Prime Factorization of 41812

Prime factors of 41812 are 2, 10453. Prime factorization of 41812 in exponential form is:

41812 = 22 × 104531

Prime Factorization of 41816

Prime factors of 41816 are 2, 5227. Prime factorization of 41816 in exponential form is:

41816 = 23 × 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 41812 and 41816.

LCM(41812,41816) = 23 × 104531 × 52271
LCM(41812,41816) = 437102648