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What is the Least Common Multiple of 77099 and 77118?

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 77099 and 77118 is 5945720682.

LCM(77099,77118) = 5945720682

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Least Common Multiple of 77099 and 77118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77099 and 77118, than apply into the LCM equation.

GCF(77099,77118) = 1
LCM(77099,77118) = ( 77099 × 77118) / 1
LCM(77099,77118) = 5945720682 / 1
LCM(77099,77118) = 5945720682

Least Common Multiple (LCM) of 77099 and 77118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77099 and 77118. First we will calculate the prime factors of 77099 and 77118.

Prime Factorization of 77099

Prime factors of 77099 are 11, 43, 163. Prime factorization of 77099 in exponential form is:

77099 = 111 × 431 × 1631

Prime Factorization of 77118

Prime factors of 77118 are 2, 3, 12853. Prime factorization of 77118 in exponential form is:

77118 = 21 × 31 × 128531

Now multiplying the highest exponent prime factors to calculate the LCM of 77099 and 77118.

LCM(77099,77118) = 111 × 431 × 1631 × 21 × 31 × 128531
LCM(77099,77118) = 5945720682