What is the Least Common Multiple of 19125 and 19134?

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 19125 and 19134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19125 and 19134, than apply into the LCM equation.

GCF(19125,19134) = 9
LCM(19125,19134) = ( 19125 × 19134) / 9
LCM(19125,19134) = 365937750 / 9
LCM(19125,19134) = 40659750

Least Common Multiple (LCM) of 19125 and 19134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19125 and 19134. First we will calculate the prime factors of 19125 and 19134.

Prime Factorization of 19125

Prime Factorization of 19134

Now multiplying the highest exponent prime factors to calculate the LCM of 19125 and 19134.

LCM(19125,19134) = 3² × 5³ × 17¹ × 2¹ × 1063¹
LCM(19125,19134) = 40659750