What is the Least Common Multiple of 58872 and 58892?

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 58872 and 58892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58872 and 58892, than apply into the LCM equation.

GCF(58872,58892) = 4
LCM(58872,58892) = ( 58872 × 58892) / 4
LCM(58872,58892) = 3467089824 / 4
LCM(58872,58892) = 866772456

Least Common Multiple (LCM) of 58872 and 58892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58872 and 58892. First we will calculate the prime factors of 58872 and 58892.

Prime Factorization of 58872

Prime Factorization of 58892

Now multiplying the highest exponent prime factors to calculate the LCM of 58872 and 58892.

LCM(58872,58892) = 2³ × 3¹ × 11¹ × 223¹ × 14723¹
LCM(58872,58892) = 866772456