What is the Least Common Multiple of 58047 and 58058?

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 58047 and 58058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58047 and 58058, than apply into the LCM equation.

GCF(58047,58058) = 11
LCM(58047,58058) = ( 58047 × 58058) / 11
LCM(58047,58058) = 3370092726 / 11
LCM(58047,58058) = 306372066

Least Common Multiple (LCM) of 58047 and 58058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58047 and 58058. First we will calculate the prime factors of 58047 and 58058.

Prime Factorization of 58047

Prime Factorization of 58058

Now multiplying the highest exponent prime factors to calculate the LCM of 58047 and 58058.

LCM(58047,58058) = 3¹ × 11¹ × 1759¹ × 2¹ × 7¹ × 13¹ × 29¹
LCM(58047,58058) = 306372066