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What is the Least Common Multiple of 81177 and 81197?

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 81177 and 81197 is 6591328869.

LCM(81177,81197) = 6591328869

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Least Common Multiple of 81177 and 81197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81177 and 81197, than apply into the LCM equation.

GCF(81177,81197) = 1
LCM(81177,81197) = ( 81177 × 81197) / 1
LCM(81177,81197) = 6591328869 / 1
LCM(81177,81197) = 6591328869

Least Common Multiple (LCM) of 81177 and 81197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81177 and 81197. First we will calculate the prime factors of 81177 and 81197.

Prime Factorization of 81177

Prime factors of 81177 are 3, 27059. Prime factorization of 81177 in exponential form is:

81177 = 31 × 270591

Prime Factorization of 81197

Prime factors of 81197 are 81197. Prime factorization of 81197 in exponential form is:

81197 = 811971

Now multiplying the highest exponent prime factors to calculate the LCM of 81177 and 81197.

LCM(81177,81197) = 31 × 270591 × 811971
LCM(81177,81197) = 6591328869