What is the Least Common Multiple of 19274 and 19282?

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 19274 and 19282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19274 and 19282, than apply into the LCM equation.

GCF(19274,19282) = 2
LCM(19274,19282) = ( 19274 × 19282) / 2
LCM(19274,19282) = 371641268 / 2
LCM(19274,19282) = 185820634

Least Common Multiple (LCM) of 19274 and 19282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19274 and 19282. First we will calculate the prime factors of 19274 and 19282.

Prime Factorization of 19274

Prime Factorization of 19282

Now multiplying the highest exponent prime factors to calculate the LCM of 19274 and 19282.

LCM(19274,19282) = 2¹ × 23¹ × 419¹ × 31¹ × 311¹
LCM(19274,19282) = 185820634