What is the Least Common Multiple of 98075 and 98081?

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 98075 and 98081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98075 and 98081, than apply into the LCM equation.

GCF(98075,98081) = 1
LCM(98075,98081) = ( 98075 × 98081) / 1
LCM(98075,98081) = 9619294075 / 1
LCM(98075,98081) = 9619294075

Least Common Multiple (LCM) of 98075 and 98081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98075 and 98081. First we will calculate the prime factors of 98075 and 98081.

Prime Factorization of 98075

Prime Factorization of 98081

Now multiplying the highest exponent prime factors to calculate the LCM of 98075 and 98081.

LCM(98075,98081) = 5² × 3923¹ × 98081¹
LCM(98075,98081) = 9619294075