What is the Least Common Multiple of 19398 and 19414?

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 19398 and 19414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19398 and 19414, than apply into the LCM equation.

GCF(19398,19414) = 2
LCM(19398,19414) = ( 19398 × 19414) / 2
LCM(19398,19414) = 376592772 / 2
LCM(19398,19414) = 188296386

Least Common Multiple (LCM) of 19398 and 19414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19398 and 19414. First we will calculate the prime factors of 19398 and 19414.

Prime Factorization of 19398

Prime Factorization of 19414

Now multiplying the highest exponent prime factors to calculate the LCM of 19398 and 19414.

LCM(19398,19414) = 2¹ × 3¹ × 53¹ × 61¹ × 17¹ × 571¹
LCM(19398,19414) = 188296386