What is the Least Common Multiple of 78805 and 78815?

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 78805 and 78815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78805 and 78815, than apply into the LCM equation.

GCF(78805,78815) = 5
LCM(78805,78815) = ( 78805 × 78815) / 5
LCM(78805,78815) = 6211016075 / 5
LCM(78805,78815) = 1242203215

Least Common Multiple (LCM) of 78805 and 78815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78805 and 78815. First we will calculate the prime factors of 78805 and 78815.

Prime Factorization of 78805

Prime Factorization of 78815

Now multiplying the highest exponent prime factors to calculate the LCM of 78805 and 78815.

LCM(78805,78815) = 5¹ × 15761¹ × 11¹ × 1433¹
LCM(78805,78815) = 1242203215