What is the Least Common Multiple of 19116 and 19121?

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 19116 and 19121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19116 and 19121, than apply into the LCM equation.

GCF(19116,19121) = 1
LCM(19116,19121) = ( 19116 × 19121) / 1
LCM(19116,19121) = 365517036 / 1
LCM(19116,19121) = 365517036

Least Common Multiple (LCM) of 19116 and 19121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19116 and 19121. First we will calculate the prime factors of 19116 and 19121.

Prime Factorization of 19116

Prime Factorization of 19121

Now multiplying the highest exponent prime factors to calculate the LCM of 19116 and 19121.

LCM(19116,19121) = 2² × 3⁴ × 59¹ × 19121¹
LCM(19116,19121) = 365517036