What is the Least Common Multiple of 89139 and 89145?

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 89139 and 89145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89139 and 89145, than apply into the LCM equation.

GCF(89139,89145) = 3
LCM(89139,89145) = ( 89139 × 89145) / 3
LCM(89139,89145) = 7946296155 / 3
LCM(89139,89145) = 2648765385

Least Common Multiple (LCM) of 89139 and 89145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89139 and 89145. First we will calculate the prime factors of 89139 and 89145.

Prime Factorization of 89139

Prime Factorization of 89145

Now multiplying the highest exponent prime factors to calculate the LCM of 89139 and 89145.

LCM(89139,89145) = 3² × 43¹ × 691¹ × 5¹ × 7¹ × 283¹
LCM(89139,89145) = 2648765385