What is the Least Common Multiple of 19109 and 19116?

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 19109 and 19116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19109 and 19116, than apply into the LCM equation.

GCF(19109,19116) = 1
LCM(19109,19116) = ( 19109 × 19116) / 1
LCM(19109,19116) = 365287644 / 1
LCM(19109,19116) = 365287644

Least Common Multiple (LCM) of 19109 and 19116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19109 and 19116. First we will calculate the prime factors of 19109 and 19116.

Prime Factorization of 19109

Prime Factorization of 19116

Now multiplying the highest exponent prime factors to calculate the LCM of 19109 and 19116.

LCM(19109,19116) = 97¹ × 197¹ × 2² × 3⁴ × 59¹
LCM(19109,19116) = 365287644