What is the Least Common Multiple of 89170 and 89175?

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 89170 and 89175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89170 and 89175, than apply into the LCM equation.

GCF(89170,89175) = 5
LCM(89170,89175) = ( 89170 × 89175) / 5
LCM(89170,89175) = 7951734750 / 5
LCM(89170,89175) = 1590346950

Least Common Multiple (LCM) of 89170 and 89175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89170 and 89175. First we will calculate the prime factors of 89170 and 89175.

Prime Factorization of 89170

Prime Factorization of 89175

Now multiplying the highest exponent prime factors to calculate the LCM of 89170 and 89175.

LCM(89170,89175) = 2¹ × 5² × 37¹ × 241¹ × 3¹ × 29¹ × 41¹
LCM(89170,89175) = 1590346950