What is the Least Common Multiple of 89865 and 89880?

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 89865 and 89880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89865 and 89880, than apply into the LCM equation.

GCF(89865,89880) = 15
LCM(89865,89880) = ( 89865 × 89880) / 15
LCM(89865,89880) = 8077066200 / 15
LCM(89865,89880) = 538471080

Least Common Multiple (LCM) of 89865 and 89880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89865 and 89880. First we will calculate the prime factors of 89865 and 89880.

Prime Factorization of 89865

Prime Factorization of 89880

Now multiplying the highest exponent prime factors to calculate the LCM of 89865 and 89880.

LCM(89865,89880) = 3² × 5¹ × 1997¹ × 2³ × 7¹ × 107¹
LCM(89865,89880) = 538471080