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What is the Least Common Multiple of 93136 and 93148?

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 93136 and 93148 is 2168858032.

LCM(93136,93148) = 2168858032

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Least Common Multiple of 93136 and 93148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93136 and 93148, than apply into the LCM equation.

GCF(93136,93148) = 4
LCM(93136,93148) = ( 93136 × 93148) / 4
LCM(93136,93148) = 8675432128 / 4
LCM(93136,93148) = 2168858032

Least Common Multiple (LCM) of 93136 and 93148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93136 and 93148. First we will calculate the prime factors of 93136 and 93148.

Prime Factorization of 93136

Prime factors of 93136 are 2, 5821. Prime factorization of 93136 in exponential form is:

93136 = 24 × 58211

Prime Factorization of 93148

Prime factors of 93148 are 2, 11, 29, 73. Prime factorization of 93148 in exponential form is:

93148 = 22 × 111 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 93136 and 93148.

LCM(93136,93148) = 24 × 58211 × 111 × 291 × 731
LCM(93136,93148) = 2168858032