What is the Least Common Multiple of 78815 and 78826?

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 78815 and 78826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78815 and 78826, than apply into the LCM equation.

GCF(78815,78826) = 11
LCM(78815,78826) = ( 78815 × 78826) / 11
LCM(78815,78826) = 6212671190 / 11
LCM(78815,78826) = 564788290

Least Common Multiple (LCM) of 78815 and 78826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78815 and 78826. First we will calculate the prime factors of 78815 and 78826.

Prime Factorization of 78815

Prime Factorization of 78826

Now multiplying the highest exponent prime factors to calculate the LCM of 78815 and 78826.

LCM(78815,78826) = 5¹ × 11¹ × 1433¹ × 2¹ × 3583¹
LCM(78815,78826) = 564788290