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What is the Least Common Multiple of 93645 and 93662?

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 93645 and 93662 is 8770977990.

LCM(93645,93662) = 8770977990

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Least Common Multiple of 93645 and 93662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93645 and 93662, than apply into the LCM equation.

GCF(93645,93662) = 1
LCM(93645,93662) = ( 93645 × 93662) / 1
LCM(93645,93662) = 8770977990 / 1
LCM(93645,93662) = 8770977990

Least Common Multiple (LCM) of 93645 and 93662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93645 and 93662. First we will calculate the prime factors of 93645 and 93662.

Prime Factorization of 93645

Prime factors of 93645 are 3, 5, 2081. Prime factorization of 93645 in exponential form is:

93645 = 32 × 51 × 20811

Prime Factorization of 93662

Prime factors of 93662 are 2, 46831. Prime factorization of 93662 in exponential form is:

93662 = 21 × 468311

Now multiplying the highest exponent prime factors to calculate the LCM of 93645 and 93662.

LCM(93645,93662) = 32 × 51 × 20811 × 21 × 468311
LCM(93645,93662) = 8770977990