What is the Least Common Multiple of 78042 and 78057?

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 78057 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 78057, than apply into the LCM equation.

GCF(78042,78057) = 3
LCM(78042,78057) = ( 78042 × 78057) / 3
LCM(78042,78057) = 6091724394 / 3
LCM(78042,78057) = 2030574798

Least Common Multiple (LCM) of 78042 and 78057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78042 and 78057. First we will calculate the prime factors of 78042 and 78057.

Prime Factorization of 78042

Prime Factorization of 78057

Now multiplying the highest exponent prime factors to calculate the LCM of 78042 and 78057.

LCM(78042,78057) = 2¹ × 3³ × 13007¹ × 7² × 59¹
LCM(78042,78057) = 2030574798