What is the Least Common Multiple of 23058 and 23072?

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 23058 and 23072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23058 and 23072, than apply into the LCM equation.

GCF(23058,23072) = 14
LCM(23058,23072) = ( 23058 × 23072) / 14
LCM(23058,23072) = 531994176 / 14
LCM(23058,23072) = 37999584

Least Common Multiple (LCM) of 23058 and 23072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23058 and 23072. First we will calculate the prime factors of 23058 and 23072.

Prime Factorization of 23058

Prime Factorization of 23072

Now multiplying the highest exponent prime factors to calculate the LCM of 23058 and 23072.

LCM(23058,23072) = 2⁵ × 3³ × 7¹ × 61¹ × 103¹
LCM(23058,23072) = 37999584