What is the Least Common Multiple of 19400 and 19419?

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 19400 and 19419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19400 and 19419, than apply into the LCM equation.

GCF(19400,19419) = 1
LCM(19400,19419) = ( 19400 × 19419) / 1
LCM(19400,19419) = 376728600 / 1
LCM(19400,19419) = 376728600

Least Common Multiple (LCM) of 19400 and 19419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19400 and 19419. First we will calculate the prime factors of 19400 and 19419.

Prime Factorization of 19400

Prime Factorization of 19419

Now multiplying the highest exponent prime factors to calculate the LCM of 19400 and 19419.

LCM(19400,19419) = 2³ × 5² × 97¹ × 3¹ × 6473¹
LCM(19400,19419) = 376728600