What is the Least Common Multiple of 19114 and 19122?

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 19114 and 19122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19114 and 19122, than apply into the LCM equation.

GCF(19114,19122) = 2
LCM(19114,19122) = ( 19114 × 19122) / 2
LCM(19114,19122) = 365497908 / 2
LCM(19114,19122) = 182748954

Least Common Multiple (LCM) of 19114 and 19122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19114 and 19122. First we will calculate the prime factors of 19114 and 19122.

Prime Factorization of 19114

Prime Factorization of 19122

Now multiplying the highest exponent prime factors to calculate the LCM of 19114 and 19122.

LCM(19114,19122) = 2¹ × 19¹ × 503¹ × 3¹ × 3187¹
LCM(19114,19122) = 182748954