What is the Least Common Multiple of 77083 and 77102?

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 of 77083 and 77102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77083 and 77102, than apply into the LCM equation.

GCF(77083,77102) = 19
LCM(77083,77102) = ( 77083 × 77102) / 19
LCM(77083,77102) = 5943253466 / 19
LCM(77083,77102) = 312802814

Least Common Multiple (LCM) of 77083 and 77102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77083 and 77102. First we will calculate the prime factors of 77083 and 77102.

Prime Factorization of 77083

Prime Factorization of 77102

Now multiplying the highest exponent prime factors to calculate the LCM of 77083 and 77102.

LCM(77083,77102) = 19¹ × 4057¹ × 2¹ × 2029¹
LCM(77083,77102) = 312802814