What is the Least Common Multiple of 19149 and 19159?

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 19149 and 19159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19149 and 19159, than apply into the LCM equation.

GCF(19149,19159) = 1
LCM(19149,19159) = ( 19149 × 19159) / 1
LCM(19149,19159) = 366875691 / 1
LCM(19149,19159) = 366875691

Least Common Multiple (LCM) of 19149 and 19159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19149 and 19159. First we will calculate the prime factors of 19149 and 19159.

Prime Factorization of 19149

Prime Factorization of 19159

Now multiplying the highest exponent prime factors to calculate the LCM of 19149 and 19159.

LCM(19149,19159) = 3¹ × 13¹ × 491¹ × 7² × 17¹ × 23¹
LCM(19149,19159) = 366875691