What is the Least Common Multiple of 65078 and 65096?

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 65078 and 65096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65078 and 65096, than apply into the LCM equation.

GCF(65078,65096) = 2
LCM(65078,65096) = ( 65078 × 65096) / 2
LCM(65078,65096) = 4236317488 / 2
LCM(65078,65096) = 2118158744

Least Common Multiple (LCM) of 65078 and 65096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65078 and 65096. First we will calculate the prime factors of 65078 and 65096.

Prime Factorization of 65078

Prime Factorization of 65096

Now multiplying the highest exponent prime factors to calculate the LCM of 65078 and 65096.

LCM(65078,65096) = 2³ × 13¹ × 2503¹ × 79¹ × 103¹
LCM(65078,65096) = 2118158744