What is the Least Common Multiple of 47052 and 47067?

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 47067 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 47067, than apply into the LCM equation.

GCF(47052,47067) = 3
LCM(47052,47067) = ( 47052 × 47067) / 3
LCM(47052,47067) = 2214596484 / 3
LCM(47052,47067) = 738198828

Least Common Multiple (LCM) of 47052 and 47067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47052 and 47067. First we will calculate the prime factors of 47052 and 47067.

Prime Factorization of 47052

Prime Factorization of 47067

Now multiplying the highest exponent prime factors to calculate the LCM of 47052 and 47067.

LCM(47052,47067) = 2² × 3² × 1307¹ × 29¹ × 541¹
LCM(47052,47067) = 738198828