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What is the Least Common Multiple of 91809 and 91815?

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 91809 and 91815 is 2809814445.

LCM(91809,91815) = 2809814445

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Least Common Multiple of 91809 and 91815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91809 and 91815, than apply into the LCM equation.

GCF(91809,91815) = 3
LCM(91809,91815) = ( 91809 × 91815) / 3
LCM(91809,91815) = 8429443335 / 3
LCM(91809,91815) = 2809814445

Least Common Multiple (LCM) of 91809 and 91815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91809 and 91815. First we will calculate the prime factors of 91809 and 91815.

Prime Factorization of 91809

Prime factors of 91809 are 3, 101. Prime factorization of 91809 in exponential form is:

91809 = 32 × 1012

Prime Factorization of 91815

Prime factors of 91815 are 3, 5, 6121. Prime factorization of 91815 in exponential form is:

91815 = 31 × 51 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 91809 and 91815.

LCM(91809,91815) = 32 × 1012 × 51 × 61211
LCM(91809,91815) = 2809814445