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What is the Least Common Multiple of 76081 and 76099?

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 76081 and 76099 is 5789688019.

LCM(76081,76099) = 5789688019

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Least Common Multiple of 76081 and 76099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76081 and 76099, than apply into the LCM equation.

GCF(76081,76099) = 1
LCM(76081,76099) = ( 76081 × 76099) / 1
LCM(76081,76099) = 5789688019 / 1
LCM(76081,76099) = 5789688019

Least Common Multiple (LCM) of 76081 and 76099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76081 and 76099. First we will calculate the prime factors of 76081 and 76099.

Prime Factorization of 76081

Prime factors of 76081 are 76081. Prime factorization of 76081 in exponential form is:

76081 = 760811

Prime Factorization of 76099

Prime factors of 76099 are 76099. Prime factorization of 76099 in exponential form is:

76099 = 760991

Now multiplying the highest exponent prime factors to calculate the LCM of 76081 and 76099.

LCM(76081,76099) = 760811 × 760991
LCM(76081,76099) = 5789688019