What is the Least Common Multiple of 23112 and 23116?

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 23116 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 23116, than apply into the LCM equation.

GCF(23112,23116) = 4
LCM(23112,23116) = ( 23112 × 23116) / 4
LCM(23112,23116) = 534256992 / 4
LCM(23112,23116) = 133564248

Least Common Multiple (LCM) of 23112 and 23116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23112 and 23116. First we will calculate the prime factors of 23112 and 23116.

Prime Factorization of 23112

Prime Factorization of 23116

Now multiplying the highest exponent prime factors to calculate the LCM of 23112 and 23116.

LCM(23112,23116) = 2³ × 3³ × 107¹ × 5779¹
LCM(23112,23116) = 133564248