What is the Least Common Multiple of 89801 and 89813?

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 89813 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 89813, than apply into the LCM equation.

GCF(89801,89813) = 1
LCM(89801,89813) = ( 89801 × 89813) / 1
LCM(89801,89813) = 8065297213 / 1
LCM(89801,89813) = 8065297213

Least Common Multiple (LCM) of 89801 and 89813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89801 and 89813. First we will calculate the prime factors of 89801 and 89813.

Prime Factorization of 89801

Prime Factorization of 89813

Now multiplying the highest exponent prime factors to calculate the LCM of 89801 and 89813.

LCM(89801,89813) = 89¹ × 1009¹ × 19¹ × 29¹ × 163¹
LCM(89801,89813) = 8065297213