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What is the Least Common Multiple of 93188 and 93194?

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 93188 and 93194 is 4342281236.

LCM(93188,93194) = 4342281236

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Least Common Multiple of 93188 and 93194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93188 and 93194, than apply into the LCM equation.

GCF(93188,93194) = 2
LCM(93188,93194) = ( 93188 × 93194) / 2
LCM(93188,93194) = 8684562472 / 2
LCM(93188,93194) = 4342281236

Least Common Multiple (LCM) of 93188 and 93194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93188 and 93194. First we will calculate the prime factors of 93188 and 93194.

Prime Factorization of 93188

Prime factors of 93188 are 2, 23297. Prime factorization of 93188 in exponential form is:

93188 = 22 × 232971

Prime Factorization of 93194

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

93194 = 21 × 171 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 93188 and 93194.

LCM(93188,93194) = 22 × 232971 × 171 × 27411
LCM(93188,93194) = 4342281236