What is the Least Common Multiple of 97078 and 97096?

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 97078 and 97096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97078 and 97096, than apply into the LCM equation.

GCF(97078,97096) = 2
LCM(97078,97096) = ( 97078 × 97096) / 2
LCM(97078,97096) = 9425885488 / 2
LCM(97078,97096) = 4712942744

Least Common Multiple (LCM) of 97078 and 97096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97078 and 97096. First we will calculate the prime factors of 97078 and 97096.

Prime Factorization of 97078

Prime Factorization of 97096

Now multiplying the highest exponent prime factors to calculate the LCM of 97078 and 97096.

LCM(97078,97096) = 2³ × 48539¹ × 53¹ × 229¹
LCM(97078,97096) = 4712942744