What is the Least Common Multiple of 7802 and 7812?

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 7802 and 7812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7802 and 7812, than apply into the LCM equation.

GCF(7802,7812) = 2
LCM(7802,7812) = ( 7802 × 7812) / 2
LCM(7802,7812) = 60949224 / 2
LCM(7802,7812) = 30474612

Least Common Multiple (LCM) of 7802 and 7812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7812. First we will calculate the prime factors of 7802 and 7812.

Prime Factorization of 7802

Prime Factorization of 7812

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7812.

LCM(7802,7812) = 2² × 47¹ × 83¹ × 3² × 7¹ × 31¹
LCM(7802,7812) = 30474612