What is the Least Common Multiple of 19050 and 19069?

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 19050 and 19069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19050 and 19069, than apply into the LCM equation.

GCF(19050,19069) = 1
LCM(19050,19069) = ( 19050 × 19069) / 1
LCM(19050,19069) = 363264450 / 1
LCM(19050,19069) = 363264450

Least Common Multiple (LCM) of 19050 and 19069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19050 and 19069. First we will calculate the prime factors of 19050 and 19069.

Prime Factorization of 19050

Prime Factorization of 19069

Now multiplying the highest exponent prime factors to calculate the LCM of 19050 and 19069.

LCM(19050,19069) = 2¹ × 3¹ × 5² × 127¹ × 19069¹
LCM(19050,19069) = 363264450