What is the Least Common Multiple of 89085 and 89096?

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 89085 and 89096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89085 and 89096, than apply into the LCM equation.

GCF(89085,89096) = 1
LCM(89085,89096) = ( 89085 × 89096) / 1
LCM(89085,89096) = 7937117160 / 1
LCM(89085,89096) = 7937117160

Least Common Multiple (LCM) of 89085 and 89096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89085 and 89096. First we will calculate the prime factors of 89085 and 89096.

Prime Factorization of 89085

Prime Factorization of 89096

Now multiplying the highest exponent prime factors to calculate the LCM of 89085 and 89096.

LCM(89085,89096) = 3¹ × 5¹ × 5939¹ × 2³ × 7¹ × 37¹ × 43¹
LCM(89085,89096) = 7937117160