What is the Least Common Multiple of 19259 and 19272?

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 19259 and 19272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19259 and 19272, than apply into the LCM equation.

GCF(19259,19272) = 1
LCM(19259,19272) = ( 19259 × 19272) / 1
LCM(19259,19272) = 371159448 / 1
LCM(19259,19272) = 371159448

Least Common Multiple (LCM) of 19259 and 19272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19259 and 19272. First we will calculate the prime factors of 19259 and 19272.

Prime Factorization of 19259

Prime Factorization of 19272

Now multiplying the highest exponent prime factors to calculate the LCM of 19259 and 19272.

LCM(19259,19272) = 19259¹ × 2³ × 3¹ × 11¹ × 73¹
LCM(19259,19272) = 371159448