What is the Least Common Multiple of 89595 and 89604?

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 89595 and 89604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89595 and 89604, than apply into the LCM equation.

GCF(89595,89604) = 9
LCM(89595,89604) = ( 89595 × 89604) / 9
LCM(89595,89604) = 8028070380 / 9
LCM(89595,89604) = 892007820

Least Common Multiple (LCM) of 89595 and 89604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89595 and 89604. First we will calculate the prime factors of 89595 and 89604.

Prime Factorization of 89595

Prime Factorization of 89604

Now multiplying the highest exponent prime factors to calculate the LCM of 89595 and 89604.

LCM(89595,89604) = 3² × 5¹ × 11¹ × 181¹ × 2² × 19¹ × 131¹
LCM(89595,89604) = 892007820