What is the Least Common Multiple of 78030 and 78047?

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 78030 and 78047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78030 and 78047, than apply into the LCM equation.

GCF(78030,78047) = 17
LCM(78030,78047) = ( 78030 × 78047) / 17
LCM(78030,78047) = 6090007410 / 17
LCM(78030,78047) = 358235730

Least Common Multiple (LCM) of 78030 and 78047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78030 and 78047. First we will calculate the prime factors of 78030 and 78047.

Prime Factorization of 78030

Prime Factorization of 78047

Now multiplying the highest exponent prime factors to calculate the LCM of 78030 and 78047.

LCM(78030,78047) = 2¹ × 3³ × 5¹ × 17² × 4591¹
LCM(78030,78047) = 358235730