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What is the Least Common Multiple of 93194 and 93213?

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 93194 and 93213 is 8686892322.

LCM(93194,93213) = 8686892322

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Least Common Multiple of 93194 and 93213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93194 and 93213, than apply into the LCM equation.

GCF(93194,93213) = 1
LCM(93194,93213) = ( 93194 × 93213) / 1
LCM(93194,93213) = 8686892322 / 1
LCM(93194,93213) = 8686892322

Least Common Multiple (LCM) of 93194 and 93213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93194 and 93213. First we will calculate the prime factors of 93194 and 93213.

Prime Factorization of 93194

Prime factors of 93194 are 2, 17, 2741. Prime factorization of 93194 in exponential form is:

93194 = 21 × 171 × 27411

Prime Factorization of 93213

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

93213 = 32 × 103571

Now multiplying the highest exponent prime factors to calculate the LCM of 93194 and 93213.

LCM(93194,93213) = 21 × 171 × 27411 × 32 × 103571
LCM(93194,93213) = 8686892322