What is the Least Common Multiple of 78021 and 78027?

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 78021 and 78027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78021 and 78027, than apply into the LCM equation.

GCF(78021,78027) = 3
LCM(78021,78027) = ( 78021 × 78027) / 3
LCM(78021,78027) = 6087744567 / 3
LCM(78021,78027) = 2029248189

Least Common Multiple (LCM) of 78021 and 78027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78021 and 78027. First we will calculate the prime factors of 78021 and 78027.

Prime Factorization of 78021

Prime Factorization of 78027

Now multiplying the highest exponent prime factors to calculate the LCM of 78021 and 78027.

LCM(78021,78027) = 3² × 8669¹ × 31¹ × 839¹
LCM(78021,78027) = 2029248189