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What is the Least Common Multiple of 93696 and 93709?

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 93696 and 93709 is 8780158464.

LCM(93696,93709) = 8780158464

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Least Common Multiple of 93696 and 93709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93696 and 93709, than apply into the LCM equation.

GCF(93696,93709) = 1
LCM(93696,93709) = ( 93696 × 93709) / 1
LCM(93696,93709) = 8780158464 / 1
LCM(93696,93709) = 8780158464

Least Common Multiple (LCM) of 93696 and 93709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93696 and 93709. First we will calculate the prime factors of 93696 and 93709.

Prime Factorization of 93696

Prime factors of 93696 are 2, 3, 61. Prime factorization of 93696 in exponential form is:

93696 = 29 × 31 × 611

Prime Factorization of 93709

Prime factors of 93709 are 7, 11, 1217. Prime factorization of 93709 in exponential form is:

93709 = 71 × 111 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 93696 and 93709.

LCM(93696,93709) = 29 × 31 × 611 × 71 × 111 × 12171
LCM(93696,93709) = 8780158464