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What is the Least Common Multiple of 91805 and 91809?

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 91805 and 91809 is 8428525245.

LCM(91805,91809) = 8428525245

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Least Common Multiple of 91805 and 91809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91805 and 91809, than apply into the LCM equation.

GCF(91805,91809) = 1
LCM(91805,91809) = ( 91805 × 91809) / 1
LCM(91805,91809) = 8428525245 / 1
LCM(91805,91809) = 8428525245

Least Common Multiple (LCM) of 91805 and 91809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91805 and 91809. First we will calculate the prime factors of 91805 and 91809.

Prime Factorization of 91805

Prime factors of 91805 are 5, 7, 43, 61. Prime factorization of 91805 in exponential form is:

91805 = 51 × 71 × 431 × 611

Prime Factorization of 91809

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

91809 = 32 × 1012

Now multiplying the highest exponent prime factors to calculate the LCM of 91805 and 91809.

LCM(91805,91809) = 51 × 71 × 431 × 611 × 32 × 1012
LCM(91805,91809) = 8428525245