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What is the Least Common Multiple of 93355 and 93365?

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 93355 and 93365 is 1743217915.

LCM(93355,93365) = 1743217915

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Least Common Multiple of 93355 and 93365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93355 and 93365, than apply into the LCM equation.

GCF(93355,93365) = 5
LCM(93355,93365) = ( 93355 × 93365) / 5
LCM(93355,93365) = 8716089575 / 5
LCM(93355,93365) = 1743217915

Least Common Multiple (LCM) of 93355 and 93365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93355 and 93365. First we will calculate the prime factors of 93355 and 93365.

Prime Factorization of 93355

Prime factors of 93355 are 5, 18671. Prime factorization of 93355 in exponential form is:

93355 = 51 × 186711

Prime Factorization of 93365

Prime factors of 93365 are 5, 71, 263. Prime factorization of 93365 in exponential form is:

93365 = 51 × 711 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 93355 and 93365.

LCM(93355,93365) = 51 × 186711 × 711 × 2631
LCM(93355,93365) = 1743217915