What is the Least Common Multiple of 89159 and 89170?

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 89159 and 89170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89159 and 89170, than apply into the LCM equation.

GCF(89159,89170) = 1
LCM(89159,89170) = ( 89159 × 89170) / 1
LCM(89159,89170) = 7950308030 / 1
LCM(89159,89170) = 7950308030

Least Common Multiple (LCM) of 89159 and 89170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89159 and 89170. First we will calculate the prime factors of 89159 and 89170.

Prime Factorization of 89159

Prime Factorization of 89170

Now multiplying the highest exponent prime factors to calculate the LCM of 89159 and 89170.

LCM(89159,89170) = 7¹ × 47¹ × 271¹ × 2¹ × 5¹ × 37¹ × 241¹
LCM(89159,89170) = 7950308030