What is the Least Common Multiple of 19134 and 19149?

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 19134 and 19149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19134 and 19149, than apply into the LCM equation.

GCF(19134,19149) = 3
LCM(19134,19149) = ( 19134 × 19149) / 3
LCM(19134,19149) = 366396966 / 3
LCM(19134,19149) = 122132322

Least Common Multiple (LCM) of 19134 and 19149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19134 and 19149. First we will calculate the prime factors of 19134 and 19149.

Prime Factorization of 19134

Prime Factorization of 19149

Now multiplying the highest exponent prime factors to calculate the LCM of 19134 and 19149.

LCM(19134,19149) = 2¹ × 3² × 1063¹ × 13¹ × 491¹
LCM(19134,19149) = 122132322