What is the Least Common Multiple of 97061 and 97081?

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 97061 and 97081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97061 and 97081, than apply into the LCM equation.

GCF(97061,97081) = 1
LCM(97061,97081) = ( 97061 × 97081) / 1
LCM(97061,97081) = 9422778941 / 1
LCM(97061,97081) = 9422778941

Least Common Multiple (LCM) of 97061 and 97081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97061 and 97081. First we will calculate the prime factors of 97061 and 97081.

Prime Factorization of 97061

Prime Factorization of 97081

Now multiplying the highest exponent prime factors to calculate the LCM of 97061 and 97081.

LCM(97061,97081) = 31² × 101¹ × 97081¹
LCM(97061,97081) = 9422778941