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What is the Least Common Multiple of 93806 and 93812?

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 93806 and 93812 is 4400064236.

LCM(93806,93812) = 4400064236

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Least Common Multiple of 93806 and 93812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93806 and 93812, than apply into the LCM equation.

GCF(93806,93812) = 2
LCM(93806,93812) = ( 93806 × 93812) / 2
LCM(93806,93812) = 8800128472 / 2
LCM(93806,93812) = 4400064236

Least Common Multiple (LCM) of 93806 and 93812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93806 and 93812. First we will calculate the prime factors of 93806 and 93812.

Prime Factorization of 93806

Prime factors of 93806 are 2, 17, 31, 89. Prime factorization of 93806 in exponential form is:

93806 = 21 × 171 × 311 × 891

Prime Factorization of 93812

Prime factors of 93812 are 2, 47, 499. Prime factorization of 93812 in exponential form is:

93812 = 22 × 471 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 93806 and 93812.

LCM(93806,93812) = 22 × 171 × 311 × 891 × 471 × 4991
LCM(93806,93812) = 4400064236