What is the Least Common Multiple of 23298 and 23312?

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 23298 and 23312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23298 and 23312, than apply into the LCM equation.

GCF(23298,23312) = 2
LCM(23298,23312) = ( 23298 × 23312) / 2
LCM(23298,23312) = 543122976 / 2
LCM(23298,23312) = 271561488

Least Common Multiple (LCM) of 23298 and 23312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23298 and 23312. First we will calculate the prime factors of 23298 and 23312.

Prime Factorization of 23298

Prime Factorization of 23312

Now multiplying the highest exponent prime factors to calculate the LCM of 23298 and 23312.

LCM(23298,23312) = 2⁴ × 3¹ × 11¹ × 353¹ × 31¹ × 47¹
LCM(23298,23312) = 271561488