What is the Least Common Multiple of 78005 and 78015?

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 78005 and 78015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78005 and 78015, than apply into the LCM equation.

GCF(78005,78015) = 5
LCM(78005,78015) = ( 78005 × 78015) / 5
LCM(78005,78015) = 6085560075 / 5
LCM(78005,78015) = 1217112015

Least Common Multiple (LCM) of 78005 and 78015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78005 and 78015. First we will calculate the prime factors of 78005 and 78015.

Prime Factorization of 78005

Prime Factorization of 78015

Now multiplying the highest exponent prime factors to calculate the LCM of 78005 and 78015.

LCM(78005,78015) = 5¹ × 15601¹ × 3¹ × 7¹ × 743¹
LCM(78005,78015) = 1217112015