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What is the Least Common Multiple of 91804 and 91808?

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 91804 and 91808 is 2107085408.

LCM(91804,91808) = 2107085408

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Least Common Multiple of 91804 and 91808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91804 and 91808, than apply into the LCM equation.

GCF(91804,91808) = 4
LCM(91804,91808) = ( 91804 × 91808) / 4
LCM(91804,91808) = 8428341632 / 4
LCM(91804,91808) = 2107085408

Least Common Multiple (LCM) of 91804 and 91808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91804 and 91808. First we will calculate the prime factors of 91804 and 91808.

Prime Factorization of 91804

Prime factors of 91804 are 2, 59, 389. Prime factorization of 91804 in exponential form is:

91804 = 22 × 591 × 3891

Prime Factorization of 91808

Prime factors of 91808 are 2, 19, 151. Prime factorization of 91808 in exponential form is:

91808 = 25 × 191 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 91804 and 91808.

LCM(91804,91808) = 25 × 591 × 3891 × 191 × 1511
LCM(91804,91808) = 2107085408