What is the Least Common Multiple of 19125 and 19131?

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 19131 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 19131, than apply into the LCM equation.

GCF(19125,19131) = 3
LCM(19125,19131) = ( 19125 × 19131) / 3
LCM(19125,19131) = 365880375 / 3
LCM(19125,19131) = 121960125

Least Common Multiple (LCM) of 19125 and 19131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19125 and 19131. First we will calculate the prime factors of 19125 and 19131.

Prime Factorization of 19125

Prime Factorization of 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 19125 and 19131.

LCM(19125,19131) = 3² × 5³ × 17¹ × 7¹ × 911¹
LCM(19125,19131) = 121960125