What is the Least Common Multiple of 65088 and 65108?

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 65088 and 65108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65088 and 65108, than apply into the LCM equation.

GCF(65088,65108) = 4
LCM(65088,65108) = ( 65088 × 65108) / 4
LCM(65088,65108) = 4237749504 / 4
LCM(65088,65108) = 1059437376

Least Common Multiple (LCM) of 65088 and 65108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65088 and 65108. First we will calculate the prime factors of 65088 and 65108.

Prime Factorization of 65088

Prime Factorization of 65108

Now multiplying the highest exponent prime factors to calculate the LCM of 65088 and 65108.

LCM(65088,65108) = 2⁶ × 3² × 113¹ × 41¹ × 397¹
LCM(65088,65108) = 1059437376