What is the Least Common Multiple of 47005 and 47025?

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 47025 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 47025, than apply into the LCM equation.

GCF(47005,47025) = 5
LCM(47005,47025) = ( 47005 × 47025) / 5
LCM(47005,47025) = 2210410125 / 5
LCM(47005,47025) = 442082025

Least Common Multiple (LCM) of 47005 and 47025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47005 and 47025. First we will calculate the prime factors of 47005 and 47025.

Prime Factorization of 47005

Prime Factorization of 47025

Now multiplying the highest exponent prime factors to calculate the LCM of 47005 and 47025.

LCM(47005,47025) = 5² × 7¹ × 17¹ × 79¹ × 3² × 11¹ × 19¹
LCM(47005,47025) = 442082025