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What is the Least Common Multiple of 93684 and 93702?

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 93684 and 93702 is 1463063028.

LCM(93684,93702) = 1463063028

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Least Common Multiple of 93684 and 93702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93684 and 93702, than apply into the LCM equation.

GCF(93684,93702) = 6
LCM(93684,93702) = ( 93684 × 93702) / 6
LCM(93684,93702) = 8778378168 / 6
LCM(93684,93702) = 1463063028

Least Common Multiple (LCM) of 93684 and 93702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93684 and 93702. First we will calculate the prime factors of 93684 and 93702.

Prime Factorization of 93684

Prime factors of 93684 are 2, 3, 37, 211. Prime factorization of 93684 in exponential form is:

93684 = 22 × 31 × 371 × 2111

Prime Factorization of 93702

Prime factors of 93702 are 2, 3, 7, 23, 97. Prime factorization of 93702 in exponential form is:

93702 = 21 × 31 × 71 × 231 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 93684 and 93702.

LCM(93684,93702) = 22 × 31 × 371 × 2111 × 71 × 231 × 971
LCM(93684,93702) = 1463063028