What is the Least Common Multiple of 89054 and 89059?

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 89054 and 89059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89054 and 89059, than apply into the LCM equation.

GCF(89054,89059) = 1
LCM(89054,89059) = ( 89054 × 89059) / 1
LCM(89054,89059) = 7931060186 / 1
LCM(89054,89059) = 7931060186

Least Common Multiple (LCM) of 89054 and 89059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89054 and 89059. First we will calculate the prime factors of 89054 and 89059.

Prime Factorization of 89054

Prime Factorization of 89059

Now multiplying the highest exponent prime factors to calculate the LCM of 89054 and 89059.

LCM(89054,89059) = 2¹ × 7¹ × 6361¹ × 29¹ × 37¹ × 83¹
LCM(89054,89059) = 7931060186