What is the Least Common Multiple of 89775 and 89795?

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 89775 and 89795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89775 and 89795, than apply into the LCM equation.

GCF(89775,89795) = 5
LCM(89775,89795) = ( 89775 × 89795) / 5
LCM(89775,89795) = 8061346125 / 5
LCM(89775,89795) = 1612269225

Least Common Multiple (LCM) of 89775 and 89795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89775 and 89795. First we will calculate the prime factors of 89775 and 89795.

Prime Factorization of 89775

Prime Factorization of 89795

Now multiplying the highest exponent prime factors to calculate the LCM of 89775 and 89795.

LCM(89775,89795) = 3³ × 5² × 7¹ × 19¹ × 17959¹
LCM(89775,89795) = 1612269225