What is the Least Common Multiple of 19025 and 19030?

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 19025 and 19030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19025 and 19030, than apply into the LCM equation.

GCF(19025,19030) = 5
LCM(19025,19030) = ( 19025 × 19030) / 5
LCM(19025,19030) = 362045750 / 5
LCM(19025,19030) = 72409150

Least Common Multiple (LCM) of 19025 and 19030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19025 and 19030. First we will calculate the prime factors of 19025 and 19030.

Prime Factorization of 19025

Prime Factorization of 19030

Now multiplying the highest exponent prime factors to calculate the LCM of 19025 and 19030.

LCM(19025,19030) = 5² × 761¹ × 2¹ × 11¹ × 173¹
LCM(19025,19030) = 72409150