What is the Least Common Multiple of 69296 and 69312?

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 69296 and 69312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69296 and 69312, than apply into the LCM equation.

GCF(69296,69312) = 16
LCM(69296,69312) = ( 69296 × 69312) / 16
LCM(69296,69312) = 4803044352 / 16
LCM(69296,69312) = 300190272

Least Common Multiple (LCM) of 69296 and 69312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69296 and 69312. First we will calculate the prime factors of 69296 and 69312.

Prime Factorization of 69296

Prime Factorization of 69312

Now multiplying the highest exponent prime factors to calculate the LCM of 69296 and 69312.

LCM(69296,69312) = 2⁶ × 61¹ × 71¹ × 3¹ × 19²
LCM(69296,69312) = 300190272