What is the Least Common Multiple of 19360 and 19378?

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 19360 and 19378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19360 and 19378, than apply into the LCM equation.

GCF(19360,19378) = 2
LCM(19360,19378) = ( 19360 × 19378) / 2
LCM(19360,19378) = 375158080 / 2
LCM(19360,19378) = 187579040

Least Common Multiple (LCM) of 19360 and 19378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19360 and 19378. First we will calculate the prime factors of 19360 and 19378.

Prime Factorization of 19360

Prime Factorization of 19378

Now multiplying the highest exponent prime factors to calculate the LCM of 19360 and 19378.

LCM(19360,19378) = 2⁵ × 5¹ × 11² × 9689¹
LCM(19360,19378) = 187579040