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What is the Least Common Multiple of 93415 and 93424?

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 93415 and 93424 is 8727202960.

LCM(93415,93424) = 8727202960

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Least Common Multiple of 93415 and 93424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93415 and 93424, than apply into the LCM equation.

GCF(93415,93424) = 1
LCM(93415,93424) = ( 93415 × 93424) / 1
LCM(93415,93424) = 8727202960 / 1
LCM(93415,93424) = 8727202960

Least Common Multiple (LCM) of 93415 and 93424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93415 and 93424. First we will calculate the prime factors of 93415 and 93424.

Prime Factorization of 93415

Prime factors of 93415 are 5, 7, 17, 157. Prime factorization of 93415 in exponential form is:

93415 = 51 × 71 × 171 × 1571

Prime Factorization of 93424

Prime factors of 93424 are 2, 5839. Prime factorization of 93424 in exponential form is:

93424 = 24 × 58391

Now multiplying the highest exponent prime factors to calculate the LCM of 93415 and 93424.

LCM(93415,93424) = 51 × 71 × 171 × 1571 × 24 × 58391
LCM(93415,93424) = 8727202960