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What is the Least Common Multiple of 93690 and 93704?

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 93690 and 93704 is 4389563880.

LCM(93690,93704) = 4389563880

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Least Common Multiple of 93690 and 93704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93690 and 93704, than apply into the LCM equation.

GCF(93690,93704) = 2
LCM(93690,93704) = ( 93690 × 93704) / 2
LCM(93690,93704) = 8779127760 / 2
LCM(93690,93704) = 4389563880

Least Common Multiple (LCM) of 93690 and 93704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93690 and 93704. First we will calculate the prime factors of 93690 and 93704.

Prime Factorization of 93690

Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:

93690 = 21 × 33 × 51 × 3471

Prime Factorization of 93704

Prime factors of 93704 are 2, 13, 17, 53. Prime factorization of 93704 in exponential form is:

93704 = 23 × 131 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 93690 and 93704.

LCM(93690,93704) = 23 × 33 × 51 × 3471 × 131 × 171 × 531
LCM(93690,93704) = 4389563880