What is the Least Common Multiple of 78405 and 78415?

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 78405 and 78415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78405 and 78415, than apply into the LCM equation.

GCF(78405,78415) = 5
LCM(78405,78415) = ( 78405 × 78415) / 5
LCM(78405,78415) = 6148128075 / 5
LCM(78405,78415) = 1229625615

Least Common Multiple (LCM) of 78405 and 78415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78405 and 78415. First we will calculate the prime factors of 78405 and 78415.

Prime Factorization of 78405

Prime Factorization of 78415

Now multiplying the highest exponent prime factors to calculate the LCM of 78405 and 78415.

LCM(78405,78415) = 3¹ × 5¹ × 5227¹ × 15683¹
LCM(78405,78415) = 1229625615