What is the Least Common Multiple of 94005 and 94015?

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 94005 and 94015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94005 and 94015, than apply into the LCM equation.

GCF(94005,94015) = 5
LCM(94005,94015) = ( 94005 × 94015) / 5
LCM(94005,94015) = 8837880075 / 5
LCM(94005,94015) = 1767576015

Least Common Multiple (LCM) of 94005 and 94015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94005 and 94015. First we will calculate the prime factors of 94005 and 94015.

Prime Factorization of 94005

Prime Factorization of 94015

Now multiplying the highest exponent prime factors to calculate the LCM of 94005 and 94015.

LCM(94005,94015) = 3² × 5¹ × 2089¹ × 18803¹
LCM(94005,94015) = 1767576015