What is the Least Common Multiple of 23112 and 23119?

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 23112 and 23119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23112 and 23119, than apply into the LCM equation.

GCF(23112,23119) = 1
LCM(23112,23119) = ( 23112 × 23119) / 1
LCM(23112,23119) = 534326328 / 1
LCM(23112,23119) = 534326328

Least Common Multiple (LCM) of 23112 and 23119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23112 and 23119. First we will calculate the prime factors of 23112 and 23119.

Prime Factorization of 23112

Prime Factorization of 23119

Now multiplying the highest exponent prime factors to calculate the LCM of 23112 and 23119.

LCM(23112,23119) = 2³ × 3³ × 107¹ × 61¹ × 379¹
LCM(23112,23119) = 534326328