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What is the Least Common Multiple of 77089 and 77097?

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 77089 and 77097 is 5943330633.

LCM(77089,77097) = 5943330633

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Least Common Multiple of 77089 and 77097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77089 and 77097, than apply into the LCM equation.

GCF(77089,77097) = 1
LCM(77089,77097) = ( 77089 × 77097) / 1
LCM(77089,77097) = 5943330633 / 1
LCM(77089,77097) = 5943330633

Least Common Multiple (LCM) of 77089 and 77097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77089 and 77097. First we will calculate the prime factors of 77089 and 77097.

Prime Factorization of 77089

Prime factors of 77089 are 127, 607. Prime factorization of 77089 in exponential form is:

77089 = 1271 × 6071

Prime Factorization of 77097

Prime factors of 77097 are 3, 31, 829. Prime factorization of 77097 in exponential form is:

77097 = 31 × 311 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 77089 and 77097.

LCM(77089,77097) = 1271 × 6071 × 31 × 311 × 8291
LCM(77089,77097) = 5943330633