What is the Least Common Multiple of 78030 and 78034?

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 78034 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 78034, than apply into the LCM equation.

GCF(78030,78034) = 2
LCM(78030,78034) = ( 78030 × 78034) / 2
LCM(78030,78034) = 6088993020 / 2
LCM(78030,78034) = 3044496510

Least Common Multiple (LCM) of 78030 and 78034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78030 and 78034. First we will calculate the prime factors of 78030 and 78034.

Prime Factorization of 78030

Prime Factorization of 78034

Now multiplying the highest exponent prime factors to calculate the LCM of 78030 and 78034.

LCM(78030,78034) = 2¹ × 3³ × 5¹ × 17² × 11¹ × 3547¹
LCM(78030,78034) = 3044496510