What is the Least Common Multiple of 19136 and 19146?

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 19136 and 19146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19136 and 19146, than apply into the LCM equation.

GCF(19136,19146) = 2
LCM(19136,19146) = ( 19136 × 19146) / 2
LCM(19136,19146) = 366377856 / 2
LCM(19136,19146) = 183188928

Least Common Multiple (LCM) of 19136 and 19146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19136 and 19146. First we will calculate the prime factors of 19136 and 19146.

Prime Factorization of 19136

Prime Factorization of 19146

Now multiplying the highest exponent prime factors to calculate the LCM of 19136 and 19146.

LCM(19136,19146) = 2⁶ × 13¹ × 23¹ × 3¹ × 3191¹
LCM(19136,19146) = 183188928