What is the Least Common Multiple of 47020 and 47035?

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 47020 and 47035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47020 and 47035, than apply into the LCM equation.

GCF(47020,47035) = 5
LCM(47020,47035) = ( 47020 × 47035) / 5
LCM(47020,47035) = 2211585700 / 5
LCM(47020,47035) = 442317140

Least Common Multiple (LCM) of 47020 and 47035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47020 and 47035. First we will calculate the prime factors of 47020 and 47035.

Prime Factorization of 47020

Prime Factorization of 47035

Now multiplying the highest exponent prime factors to calculate the LCM of 47020 and 47035.

LCM(47020,47035) = 2² × 5¹ × 2351¹ × 23¹ × 409¹
LCM(47020,47035) = 442317140