What is the Least Common Multiple of 89840 and 89858?

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 89840 and 89858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89840 and 89858, than apply into the LCM equation.

GCF(89840,89858) = 2
LCM(89840,89858) = ( 89840 × 89858) / 2
LCM(89840,89858) = 8072842720 / 2
LCM(89840,89858) = 4036421360

Least Common Multiple (LCM) of 89840 and 89858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89840 and 89858. First we will calculate the prime factors of 89840 and 89858.

Prime Factorization of 89840

Prime Factorization of 89858

Now multiplying the highest exponent prime factors to calculate the LCM of 89840 and 89858.

LCM(89840,89858) = 2⁴ × 5¹ × 1123¹ × 179¹ × 251¹
LCM(89840,89858) = 4036421360