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What is the Least Common Multiple of 93419 and 93428?

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 93419 and 93428 is 8727950332.

LCM(93419,93428) = 8727950332

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Least Common Multiple of 93419 and 93428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93419 and 93428, than apply into the LCM equation.

GCF(93419,93428) = 1
LCM(93419,93428) = ( 93419 × 93428) / 1
LCM(93419,93428) = 8727950332 / 1
LCM(93419,93428) = 8727950332

Least Common Multiple (LCM) of 93419 and 93428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93419 and 93428. First we will calculate the prime factors of 93419 and 93428.

Prime Factorization of 93419

Prime factors of 93419 are 93419. Prime factorization of 93419 in exponential form is:

93419 = 934191

Prime Factorization of 93428

Prime factors of 93428 are 2, 23357. Prime factorization of 93428 in exponential form is:

93428 = 22 × 233571

Now multiplying the highest exponent prime factors to calculate the LCM of 93419 and 93428.

LCM(93419,93428) = 934191 × 22 × 233571
LCM(93419,93428) = 8727950332