What is the Least Common Multiple of 19378 and 19386?

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 19378 and 19386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19378 and 19386, than apply into the LCM equation.

GCF(19378,19386) = 2
LCM(19378,19386) = ( 19378 × 19386) / 2
LCM(19378,19386) = 375661908 / 2
LCM(19378,19386) = 187830954

Least Common Multiple (LCM) of 19378 and 19386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19378 and 19386. First we will calculate the prime factors of 19378 and 19386.

Prime Factorization of 19378

Prime Factorization of 19386

Now multiplying the highest exponent prime factors to calculate the LCM of 19378 and 19386.

LCM(19378,19386) = 2¹ × 9689¹ × 3³ × 359¹
LCM(19378,19386) = 187830954