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What is the Least Common Multiple of 93213 and 93228?

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 93213 and 93228 is 2896687188.

LCM(93213,93228) = 2896687188

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Least Common Multiple of 93213 and 93228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93213 and 93228, than apply into the LCM equation.

GCF(93213,93228) = 3
LCM(93213,93228) = ( 93213 × 93228) / 3
LCM(93213,93228) = 8690061564 / 3
LCM(93213,93228) = 2896687188

Least Common Multiple (LCM) of 93213 and 93228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93213 and 93228. First we will calculate the prime factors of 93213 and 93228.

Prime Factorization of 93213

Prime factors of 93213 are 3, 10357. Prime factorization of 93213 in exponential form is:

93213 = 32 × 103571

Prime Factorization of 93228

Prime factors of 93228 are 2, 3, 17, 457. Prime factorization of 93228 in exponential form is:

93228 = 22 × 31 × 171 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 93213 and 93228.

LCM(93213,93228) = 32 × 103571 × 22 × 171 × 4571
LCM(93213,93228) = 2896687188