What is the Least Common Multiple of 47032 and 47038?

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 47032 and 47038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47032 and 47038, than apply into the LCM equation.

GCF(47032,47038) = 2
LCM(47032,47038) = ( 47032 × 47038) / 2
LCM(47032,47038) = 2212291216 / 2
LCM(47032,47038) = 1106145608

Least Common Multiple (LCM) of 47032 and 47038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47032 and 47038. First we will calculate the prime factors of 47032 and 47038.

Prime Factorization of 47032

Prime Factorization of 47038

Now multiplying the highest exponent prime factors to calculate the LCM of 47032 and 47038.

LCM(47032,47038) = 2³ × 5879¹ × 29¹ × 811¹
LCM(47032,47038) = 1106145608