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What is the Least Common Multiple of 91806 and 91825?

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 91825 is 8430085950.

LCM(91806,91825) = 8430085950

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Least Common Multiple of 91806 and 91825 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 91825, than apply into the LCM equation.

GCF(91806,91825) = 1
LCM(91806,91825) = ( 91806 × 91825) / 1
LCM(91806,91825) = 8430085950 / 1
LCM(91806,91825) = 8430085950

Least Common Multiple (LCM) of 91806 and 91825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91806 and 91825. First we will calculate the prime factors of 91806 and 91825.

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 91825

Prime factors of 91825 are 5, 3673. Prime factorization of 91825 in exponential form is:

91825 = 52 × 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 91806 and 91825.

LCM(91806,91825) = 21 × 31 × 111 × 131 × 1071 × 52 × 36731
LCM(91806,91825) = 8430085950