What is the Least Common Multiple of 78074 and 78084?

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 78074 and 78084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78074 and 78084, than apply into the LCM equation.

GCF(78074,78084) = 2
LCM(78074,78084) = ( 78074 × 78084) / 2
LCM(78074,78084) = 6096330216 / 2
LCM(78074,78084) = 3048165108

Least Common Multiple (LCM) of 78074 and 78084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78074 and 78084. First we will calculate the prime factors of 78074 and 78084.

Prime Factorization of 78074

Prime Factorization of 78084

Now multiplying the highest exponent prime factors to calculate the LCM of 78074 and 78084.

LCM(78074,78084) = 2² × 103¹ × 379¹ × 3⁴ × 241¹
LCM(78074,78084) = 3048165108