What is the Least Common Multiple of 80795 and 80815?

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 80795 and 80815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80795 and 80815, than apply into the LCM equation.

GCF(80795,80815) = 5
LCM(80795,80815) = ( 80795 × 80815) / 5
LCM(80795,80815) = 6529447925 / 5
LCM(80795,80815) = 1305889585

Least Common Multiple (LCM) of 80795 and 80815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80795 and 80815. First we will calculate the prime factors of 80795 and 80815.

Prime Factorization of 80795

Prime Factorization of 80815

Now multiplying the highest exponent prime factors to calculate the LCM of 80795 and 80815.

LCM(80795,80815) = 5¹ × 11¹ × 13¹ × 113¹ × 7¹ × 2309¹
LCM(80795,80815) = 1305889585