What is the Least Common Multiple of 89880 and 89895?

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 89880 and 89895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89880 and 89895, than apply into the LCM equation.

GCF(89880,89895) = 15
LCM(89880,89895) = ( 89880 × 89895) / 15
LCM(89880,89895) = 8079762600 / 15
LCM(89880,89895) = 538650840

Least Common Multiple (LCM) of 89880 and 89895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89880 and 89895. First we will calculate the prime factors of 89880 and 89895.

Prime Factorization of 89880

Prime Factorization of 89895

Now multiplying the highest exponent prime factors to calculate the LCM of 89880 and 89895.

LCM(89880,89895) = 2³ × 3¹ × 5¹ × 7¹ × 107¹ × 13¹ × 461¹
LCM(89880,89895) = 538650840