What is the Least Common Multiple of 17419 and 17437?

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 17419 and 17437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17419 and 17437, than apply into the LCM equation.

GCF(17419,17437) = 1
LCM(17419,17437) = ( 17419 × 17437) / 1
LCM(17419,17437) = 303735103 / 1
LCM(17419,17437) = 303735103

Least Common Multiple (LCM) of 17419 and 17437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17419 and 17437. First we will calculate the prime factors of 17419 and 17437.

Prime Factorization of 17419

Prime Factorization of 17437

Now multiplying the highest exponent prime factors to calculate the LCM of 17419 and 17437.

LCM(17419,17437) = 17419¹ × 7¹ × 47¹ × 53¹
LCM(17419,17437) = 303735103