What is the Least Common Multiple of 89870 and 89879?

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 89870 and 89879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89870 and 89879, than apply into the LCM equation.

GCF(89870,89879) = 1
LCM(89870,89879) = ( 89870 × 89879) / 1
LCM(89870,89879) = 8077425730 / 1
LCM(89870,89879) = 8077425730

Least Common Multiple (LCM) of 89870 and 89879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89870 and 89879. First we will calculate the prime factors of 89870 and 89879.

Prime Factorization of 89870

Prime Factorization of 89879

Now multiplying the highest exponent prime factors to calculate the LCM of 89870 and 89879.

LCM(89870,89879) = 2¹ × 5¹ × 11¹ × 19¹ × 43¹ × 17² × 311¹
LCM(89870,89879) = 8077425730