What is the Least Common Multiple of 19260 and 19274?

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 19260 and 19274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19260 and 19274, than apply into the LCM equation.

GCF(19260,19274) = 2
LCM(19260,19274) = ( 19260 × 19274) / 2
LCM(19260,19274) = 371217240 / 2
LCM(19260,19274) = 185608620

Least Common Multiple (LCM) of 19260 and 19274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19260 and 19274. First we will calculate the prime factors of 19260 and 19274.

Prime Factorization of 19260

Prime Factorization of 19274

Now multiplying the highest exponent prime factors to calculate the LCM of 19260 and 19274.

LCM(19260,19274) = 2² × 3² × 5¹ × 107¹ × 23¹ × 419¹
LCM(19260,19274) = 185608620