What is the Least Common Multiple of 78075 and 78083?

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 78075 and 78083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78075 and 78083, than apply into the LCM equation.

GCF(78075,78083) = 1
LCM(78075,78083) = ( 78075 × 78083) / 1
LCM(78075,78083) = 6096330225 / 1
LCM(78075,78083) = 6096330225

Least Common Multiple (LCM) of 78075 and 78083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78075 and 78083. First we will calculate the prime factors of 78075 and 78083.

Prime Factorization of 78075

Prime Factorization of 78083

Now multiplying the highest exponent prime factors to calculate the LCM of 78075 and 78083.

LCM(78075,78083) = 3² × 5² × 347¹ × 113¹ × 691¹
LCM(78075,78083) = 6096330225