What is the Least Common Multiple of 47005 and 47020?

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 47020 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 47020, than apply into the LCM equation.

GCF(47005,47020) = 5
LCM(47005,47020) = ( 47005 × 47020) / 5
LCM(47005,47020) = 2210175100 / 5
LCM(47005,47020) = 442035020

Least Common Multiple (LCM) of 47005 and 47020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47005 and 47020. First we will calculate the prime factors of 47005 and 47020.

Prime Factorization of 47005

Prime Factorization of 47020

Now multiplying the highest exponent prime factors to calculate the LCM of 47005 and 47020.

LCM(47005,47020) = 5¹ × 7¹ × 17¹ × 79¹ × 2² × 2351¹
LCM(47005,47020) = 442035020