What is the Least Common Multiple of 7812 and 7827?

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 7812 and 7827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7812 and 7827, than apply into the LCM equation.

GCF(7812,7827) = 3
LCM(7812,7827) = ( 7812 × 7827) / 3
LCM(7812,7827) = 61144524 / 3
LCM(7812,7827) = 20381508

Least Common Multiple (LCM) of 7812 and 7827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7827. First we will calculate the prime factors of 7812 and 7827.

Prime Factorization of 7812

Prime Factorization of 7827

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7827.

LCM(7812,7827) = 2² × 3² × 7¹ × 31¹ × 2609¹
LCM(7812,7827) = 20381508