What is the Least Common Multiple of 58029 and 58047?

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 58029 and 58047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58029 and 58047, than apply into the LCM equation.

GCF(58029,58047) = 3
LCM(58029,58047) = ( 58029 × 58047) / 3
LCM(58029,58047) = 3368409363 / 3
LCM(58029,58047) = 1122803121

Least Common Multiple (LCM) of 58029 and 58047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58029 and 58047. First we will calculate the prime factors of 58029 and 58047.

Prime Factorization of 58029

Prime Factorization of 58047

Now multiplying the highest exponent prime factors to calculate the LCM of 58029 and 58047.

LCM(58029,58047) = 3¹ × 23¹ × 29² × 11¹ × 1759¹
LCM(58029,58047) = 1122803121