What is the Least Common Multiple of 89837 and 89857?

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 89837 and 89857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89837 and 89857, than apply into the LCM equation.

GCF(89837,89857) = 1
LCM(89837,89857) = ( 89837 × 89857) / 1
LCM(89837,89857) = 8072483309 / 1
LCM(89837,89857) = 8072483309

Least Common Multiple (LCM) of 89837 and 89857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89837 and 89857. First we will calculate the prime factors of 89837 and 89857.

Prime Factorization of 89837

Prime Factorization of 89857

Now multiplying the highest exponent prime factors to calculate the LCM of 89837 and 89857.

LCM(89837,89857) = 11¹ × 8167¹ × 59¹ × 1523¹
LCM(89837,89857) = 8072483309