What is the Least Common Multiple of 23072 and 23086?

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 23072 and 23086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23072 and 23086, than apply into the LCM equation.

GCF(23072,23086) = 14
LCM(23072,23086) = ( 23072 × 23086) / 14
LCM(23072,23086) = 532640192 / 14
LCM(23072,23086) = 38045728

Least Common Multiple (LCM) of 23072 and 23086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23072 and 23086. First we will calculate the prime factors of 23072 and 23086.

Prime Factorization of 23072

Prime Factorization of 23086

Now multiplying the highest exponent prime factors to calculate the LCM of 23072 and 23086.

LCM(23072,23086) = 2⁵ × 7¹ × 103¹ × 17¹ × 97¹
LCM(23072,23086) = 38045728