What is the Least Common Multiple of 78589 and 78604?

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 78589 and 78604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78589 and 78604, than apply into the LCM equation.

GCF(78589,78604) = 1
LCM(78589,78604) = ( 78589 × 78604) / 1
LCM(78589,78604) = 6177409756 / 1
LCM(78589,78604) = 6177409756

Least Common Multiple (LCM) of 78589 and 78604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78589 and 78604. First we will calculate the prime factors of 78589 and 78604.

Prime Factorization of 78589

Prime Factorization of 78604

Now multiplying the highest exponent prime factors to calculate the LCM of 78589 and 78604.

LCM(78589,78604) = 7¹ × 103¹ × 109¹ × 2² × 43¹ × 457¹
LCM(78589,78604) = 6177409756