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What is the Least Common Multiple of 91388 and 91404?

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 91388 and 91404 is 2088307188.

LCM(91388,91404) = 2088307188

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Least Common Multiple of 91388 and 91404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91388 and 91404, than apply into the LCM equation.

GCF(91388,91404) = 4
LCM(91388,91404) = ( 91388 × 91404) / 4
LCM(91388,91404) = 8353228752 / 4
LCM(91388,91404) = 2088307188

Least Common Multiple (LCM) of 91388 and 91404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91388 and 91404. First we will calculate the prime factors of 91388 and 91404.

Prime Factorization of 91388

Prime factors of 91388 are 2, 11, 31, 67. Prime factorization of 91388 in exponential form is:

91388 = 22 × 111 × 311 × 671

Prime Factorization of 91404

Prime factors of 91404 are 2, 3, 2539. Prime factorization of 91404 in exponential form is:

91404 = 22 × 32 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 91388 and 91404.

LCM(91388,91404) = 22 × 111 × 311 × 671 × 32 × 25391
LCM(91388,91404) = 2088307188