What is the Least Common Multiple of 78063 and 78075?

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 78063 and 78075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78063 and 78075, than apply into the LCM equation.

GCF(78063,78075) = 3
LCM(78063,78075) = ( 78063 × 78075) / 3
LCM(78063,78075) = 6094768725 / 3
LCM(78063,78075) = 2031589575

Least Common Multiple (LCM) of 78063 and 78075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78063 and 78075. First we will calculate the prime factors of 78063 and 78075.

Prime Factorization of 78063

Prime Factorization of 78075

Now multiplying the highest exponent prime factors to calculate the LCM of 78063 and 78075.

LCM(78063,78075) = 3² × 26021¹ × 5² × 347¹
LCM(78063,78075) = 2031589575