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What is the Least Common Multiple of 92091 and 92109?

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 92091 and 92109 is 2827469973.

LCM(92091,92109) = 2827469973

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Least Common Multiple of 92091 and 92109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92091 and 92109, than apply into the LCM equation.

GCF(92091,92109) = 3
LCM(92091,92109) = ( 92091 × 92109) / 3
LCM(92091,92109) = 8482409919 / 3
LCM(92091,92109) = 2827469973

Least Common Multiple (LCM) of 92091 and 92109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92091 and 92109. First we will calculate the prime factors of 92091 and 92109.

Prime Factorization of 92091

Prime factors of 92091 are 3, 30697. Prime factorization of 92091 in exponential form is:

92091 = 31 × 306971

Prime Factorization of 92109

Prime factors of 92109 are 3, 30703. Prime factorization of 92109 in exponential form is:

92109 = 31 × 307031

Now multiplying the highest exponent prime factors to calculate the LCM of 92091 and 92109.

LCM(92091,92109) = 31 × 306971 × 307031
LCM(92091,92109) = 2827469973