What is the Least Common Multiple of 78288 and 78307?

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 78288 and 78307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78288 and 78307, than apply into the LCM equation.

GCF(78288,78307) = 1
LCM(78288,78307) = ( 78288 × 78307) / 1
LCM(78288,78307) = 6130498416 / 1
LCM(78288,78307) = 6130498416

Least Common Multiple (LCM) of 78288 and 78307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78288 and 78307. First we will calculate the prime factors of 78288 and 78307.

Prime Factorization of 78288

Prime Factorization of 78307

Now multiplying the highest exponent prime factors to calculate the LCM of 78288 and 78307.

LCM(78288,78307) = 2⁴ × 3¹ × 7¹ × 233¹ × 78307¹
LCM(78288,78307) = 6130498416