What is the Least Common Multiple of 78609 and 78615?

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 78609 and 78615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78609 and 78615, than apply into the LCM equation.

GCF(78609,78615) = 3
LCM(78609,78615) = ( 78609 × 78615) / 3
LCM(78609,78615) = 6179846535 / 3
LCM(78609,78615) = 2059948845

Least Common Multiple (LCM) of 78609 and 78615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78609 and 78615. First we will calculate the prime factors of 78609 and 78615.

Prime Factorization of 78609

Prime Factorization of 78615

Now multiplying the highest exponent prime factors to calculate the LCM of 78609 and 78615.

LCM(78609,78615) = 3² × 26203¹ × 5¹ × 1747¹
LCM(78609,78615) = 2059948845