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What is the Least Common Multiple of 91806 and 91824?

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 91806 and 91824 is 1404999024.

LCM(91806,91824) = 1404999024

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Least Common Multiple of 91806 and 91824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91806 and 91824, than apply into the LCM equation.

GCF(91806,91824) = 6
LCM(91806,91824) = ( 91806 × 91824) / 6
LCM(91806,91824) = 8429994144 / 6
LCM(91806,91824) = 1404999024

Least Common Multiple (LCM) of 91806 and 91824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91806 and 91824. First we will calculate the prime factors of 91806 and 91824.

Prime Factorization of 91806

Prime factors of 91806 are 2, 3, 11, 13, 107. Prime factorization of 91806 in exponential form is:

91806 = 21 × 31 × 111 × 131 × 1071

Prime Factorization of 91824

Prime factors of 91824 are 2, 3, 1913. Prime factorization of 91824 in exponential form is:

91824 = 24 × 31 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 91806 and 91824.

LCM(91806,91824) = 24 × 31 × 111 × 131 × 1071 × 19131
LCM(91806,91824) = 1404999024