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What is the Least Common Multiple of 76997 and 77016?

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 76997 and 77016 is 5930000952.

LCM(76997,77016) = 5930000952

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Least Common Multiple of 76997 and 77016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76997 and 77016, than apply into the LCM equation.

GCF(76997,77016) = 1
LCM(76997,77016) = ( 76997 × 77016) / 1
LCM(76997,77016) = 5930000952 / 1
LCM(76997,77016) = 5930000952

Least Common Multiple (LCM) of 76997 and 77016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76997 and 77016. First we will calculate the prime factors of 76997 and 77016.

Prime Factorization of 76997

Prime factors of 76997 are 37, 2081. Prime factorization of 76997 in exponential form is:

76997 = 371 × 20811

Prime Factorization of 77016

Prime factors of 77016 are 2, 3, 3209. Prime factorization of 77016 in exponential form is:

77016 = 23 × 31 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 76997 and 77016.

LCM(76997,77016) = 371 × 20811 × 23 × 31 × 32091
LCM(76997,77016) = 5930000952