What is the Least Common Multiple of 78057 and 78077?

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 78057 and 78077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78057 and 78077, than apply into the LCM equation.

GCF(78057,78077) = 1
LCM(78057,78077) = ( 78057 × 78077) / 1
LCM(78057,78077) = 6094456389 / 1
LCM(78057,78077) = 6094456389

Least Common Multiple (LCM) of 78057 and 78077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78057 and 78077. First we will calculate the prime factors of 78057 and 78077.

Prime Factorization of 78057

Prime Factorization of 78077

Now multiplying the highest exponent prime factors to calculate the LCM of 78057 and 78077.

LCM(78057,78077) = 3³ × 7² × 59¹ × 163¹ × 479¹
LCM(78057,78077) = 6094456389