What is the Least Common Multiple of 89853 and 89870?

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 89853 and 89870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89853 and 89870, than apply into the LCM equation.

GCF(89853,89870) = 1
LCM(89853,89870) = ( 89853 × 89870) / 1
LCM(89853,89870) = 8075089110 / 1
LCM(89853,89870) = 8075089110

Least Common Multiple (LCM) of 89853 and 89870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89853 and 89870. First we will calculate the prime factors of 89853 and 89870.

Prime Factorization of 89853

Prime Factorization of 89870

Now multiplying the highest exponent prime factors to calculate the LCM of 89853 and 89870.

LCM(89853,89870) = 3¹ × 61¹ × 491¹ × 2¹ × 5¹ × 11¹ × 19¹ × 43¹
LCM(89853,89870) = 8075089110