What is the Least Common Multiple of 47005 and 47015?

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 47005 and 47015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47005 and 47015, than apply into the LCM equation.

GCF(47005,47015) = 5
LCM(47005,47015) = ( 47005 × 47015) / 5
LCM(47005,47015) = 2209940075 / 5
LCM(47005,47015) = 441988015

Least Common Multiple (LCM) of 47005 and 47015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47005 and 47015. First we will calculate the prime factors of 47005 and 47015.

Prime Factorization of 47005

Prime Factorization of 47015

Now multiplying the highest exponent prime factors to calculate the LCM of 47005 and 47015.

LCM(47005,47015) = 5¹ × 7¹ × 17¹ × 79¹ × 9403¹
LCM(47005,47015) = 441988015