What is the Least Common Multiple of 78305 and 78315?

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 78305 and 78315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78305 and 78315, than apply into the LCM equation.

GCF(78305,78315) = 5
LCM(78305,78315) = ( 78305 × 78315) / 5
LCM(78305,78315) = 6132456075 / 5
LCM(78305,78315) = 1226491215

Least Common Multiple (LCM) of 78305 and 78315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78305 and 78315. First we will calculate the prime factors of 78305 and 78315.

Prime Factorization of 78305

Prime Factorization of 78315

Now multiplying the highest exponent prime factors to calculate the LCM of 78305 and 78315.

LCM(78305,78315) = 5¹ × 15661¹ × 3¹ × 23¹ × 227¹
LCM(78305,78315) = 1226491215