What is the Least Common Multiple of 89859 and 89873?

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 89859 and 89873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89859 and 89873, than apply into the LCM equation.

GCF(89859,89873) = 7
LCM(89859,89873) = ( 89859 × 89873) / 7
LCM(89859,89873) = 8075897907 / 7
LCM(89859,89873) = 1153699701

Least Common Multiple (LCM) of 89859 and 89873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89859 and 89873. First we will calculate the prime factors of 89859 and 89873.

Prime Factorization of 89859

Prime Factorization of 89873

Now multiplying the highest exponent prime factors to calculate the LCM of 89859 and 89873.

LCM(89859,89873) = 3¹ × 7¹ × 11¹ × 389¹ × 37¹ × 347¹
LCM(89859,89873) = 1153699701