What is the Least Common Multiple of 89801 and 89815?

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 89801 and 89815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89801 and 89815, than apply into the LCM equation.

GCF(89801,89815) = 1
LCM(89801,89815) = ( 89801 × 89815) / 1
LCM(89801,89815) = 8065476815 / 1
LCM(89801,89815) = 8065476815

Least Common Multiple (LCM) of 89801 and 89815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89801 and 89815. First we will calculate the prime factors of 89801 and 89815.

Prime Factorization of 89801

Prime Factorization of 89815

Now multiplying the highest exponent prime factors to calculate the LCM of 89801 and 89815.

LCM(89801,89815) = 89¹ × 1009¹ × 5¹ × 11¹ × 23¹ × 71¹
LCM(89801,89815) = 8065476815