What is the Least Common Multiple of 7812 and 7825?

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 7825 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 7825, than apply into the LCM equation.

GCF(7812,7825) = 1
LCM(7812,7825) = ( 7812 × 7825) / 1
LCM(7812,7825) = 61128900 / 1
LCM(7812,7825) = 61128900

Least Common Multiple (LCM) of 7812 and 7825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7825. First we will calculate the prime factors of 7812 and 7825.

Prime Factorization of 7812

Prime Factorization of 7825

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7825.

LCM(7812,7825) = 2² × 3² × 7¹ × 31¹ × 5² × 313¹
LCM(7812,7825) = 61128900