What is the Least Common Multiple of 78042 and 78051?

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 78042 and 78051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78042 and 78051, than apply into the LCM equation.

GCF(78042,78051) = 3
LCM(78042,78051) = ( 78042 × 78051) / 3
LCM(78042,78051) = 6091256142 / 3
LCM(78042,78051) = 2030418714

Least Common Multiple (LCM) of 78042 and 78051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78042 and 78051. First we will calculate the prime factors of 78042 and 78051.

Prime Factorization of 78042

Prime Factorization of 78051

Now multiplying the highest exponent prime factors to calculate the LCM of 78042 and 78051.

LCM(78042,78051) = 2¹ × 3¹ × 13007¹ × 26017¹
LCM(78042,78051) = 2030418714