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What is the Least Common Multiple of 91995 and 92014?

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 91995 and 92014 is 8464827930.

LCM(91995,92014) = 8464827930

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Least Common Multiple of 91995 and 92014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91995 and 92014, than apply into the LCM equation.

GCF(91995,92014) = 1
LCM(91995,92014) = ( 91995 × 92014) / 1
LCM(91995,92014) = 8464827930 / 1
LCM(91995,92014) = 8464827930

Least Common Multiple (LCM) of 91995 and 92014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91995 and 92014. First we will calculate the prime factors of 91995 and 92014.

Prime Factorization of 91995

Prime factors of 91995 are 3, 5, 6133. Prime factorization of 91995 in exponential form is:

91995 = 31 × 51 × 61331

Prime Factorization of 92014

Prime factors of 92014 are 2, 13, 3539. Prime factorization of 92014 in exponential form is:

92014 = 21 × 131 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 91995 and 92014.

LCM(91995,92014) = 31 × 51 × 61331 × 21 × 131 × 35391
LCM(91995,92014) = 8464827930