What is the Least Common Multiple of 78042 and 78054?

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 78054 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 78054, than apply into the LCM equation.

GCF(78042,78054) = 6
LCM(78042,78054) = ( 78042 × 78054) / 6
LCM(78042,78054) = 6091490268 / 6
LCM(78042,78054) = 1015248378

Least Common Multiple (LCM) of 78042 and 78054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78042 and 78054. First we will calculate the prime factors of 78042 and 78054.

Prime Factorization of 78042

Prime Factorization of 78054

Now multiplying the highest exponent prime factors to calculate the LCM of 78042 and 78054.

LCM(78042,78054) = 2¹ × 3¹ × 13007¹ × 13009¹
LCM(78042,78054) = 1015248378