What is the Least Common Multiple of 19428 and 19437?

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 19428 and 19437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19428 and 19437, than apply into the LCM equation.

GCF(19428,19437) = 3
LCM(19428,19437) = ( 19428 × 19437) / 3
LCM(19428,19437) = 377622036 / 3
LCM(19428,19437) = 125874012

Least Common Multiple (LCM) of 19428 and 19437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19428 and 19437. First we will calculate the prime factors of 19428 and 19437.

Prime Factorization of 19428

Prime Factorization of 19437

Now multiplying the highest exponent prime factors to calculate the LCM of 19428 and 19437.

LCM(19428,19437) = 2² × 3¹ × 1619¹ × 11¹ × 19¹ × 31¹
LCM(19428,19437) = 125874012