What is the Least Common Multiple of 26304 and 26312?

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 26304 and 26312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26304 and 26312, than apply into the LCM equation.

GCF(26304,26312) = 8
LCM(26304,26312) = ( 26304 × 26312) / 8
LCM(26304,26312) = 692110848 / 8
LCM(26304,26312) = 86513856

Least Common Multiple (LCM) of 26304 and 26312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26304 and 26312. First we will calculate the prime factors of 26304 and 26312.

Prime Factorization of 26304

Prime Factorization of 26312

Now multiplying the highest exponent prime factors to calculate the LCM of 26304 and 26312.

LCM(26304,26312) = 2⁶ × 3¹ × 137¹ × 11¹ × 13¹ × 23¹
LCM(26304,26312) = 86513856