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What is the Least Common Multiple of 93350 and 93369?

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 93350 and 93369 is 8715996150.

LCM(93350,93369) = 8715996150

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Least Common Multiple of 93350 and 93369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93350 and 93369, than apply into the LCM equation.

GCF(93350,93369) = 1
LCM(93350,93369) = ( 93350 × 93369) / 1
LCM(93350,93369) = 8715996150 / 1
LCM(93350,93369) = 8715996150

Least Common Multiple (LCM) of 93350 and 93369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93350 and 93369. First we will calculate the prime factors of 93350 and 93369.

Prime Factorization of 93350

Prime factors of 93350 are 2, 5, 1867. Prime factorization of 93350 in exponential form is:

93350 = 21 × 52 × 18671

Prime Factorization of 93369

Prime factors of 93369 are 3, 31123. Prime factorization of 93369 in exponential form is:

93369 = 31 × 311231

Now multiplying the highest exponent prime factors to calculate the LCM of 93350 and 93369.

LCM(93350,93369) = 21 × 52 × 18671 × 31 × 311231
LCM(93350,93369) = 8715996150