What is the Least Common Multiple of 23030 and 23045?

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 23030 and 23045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23030 and 23045, than apply into the LCM equation.

GCF(23030,23045) = 5
LCM(23030,23045) = ( 23030 × 23045) / 5
LCM(23030,23045) = 530726350 / 5
LCM(23030,23045) = 106145270

Least Common Multiple (LCM) of 23030 and 23045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23030 and 23045. First we will calculate the prime factors of 23030 and 23045.

Prime Factorization of 23030

Prime Factorization of 23045

Now multiplying the highest exponent prime factors to calculate the LCM of 23030 and 23045.

LCM(23030,23045) = 2¹ × 5¹ × 7² × 47¹ × 11¹ × 419¹
LCM(23030,23045) = 106145270