What is the Least Common Multiple of 47052 and 47072?

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 47052 and 47072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47052 and 47072, than apply into the LCM equation.

GCF(47052,47072) = 4
LCM(47052,47072) = ( 47052 × 47072) / 4
LCM(47052,47072) = 2214831744 / 4
LCM(47052,47072) = 553707936

Least Common Multiple (LCM) of 47052 and 47072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47052 and 47072. First we will calculate the prime factors of 47052 and 47072.

Prime Factorization of 47052

Prime Factorization of 47072

Now multiplying the highest exponent prime factors to calculate the LCM of 47052 and 47072.

LCM(47052,47072) = 2⁵ × 3² × 1307¹ × 1471¹
LCM(47052,47072) = 553707936