What is the Least Common Multiple of 7805 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 7805 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 7805 and 7825, than apply into the LCM equation.

GCF(7805,7825) = 5
LCM(7805,7825) = ( 7805 × 7825) / 5
LCM(7805,7825) = 61074125 / 5
LCM(7805,7825) = 12214825

Least Common Multiple (LCM) of 7805 and 7825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7805 and 7825. First we will calculate the prime factors of 7805 and 7825.

Prime Factorization of 7805

Prime Factorization of 7825

Now multiplying the highest exponent prime factors to calculate the LCM of 7805 and 7825.

LCM(7805,7825) = 5² × 7¹ × 223¹ × 313¹
LCM(7805,7825) = 12214825