What is the Least Common Multiple of 80770 and 80786?

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 80770 and 80786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80770 and 80786, than apply into the LCM equation.

GCF(80770,80786) = 2
LCM(80770,80786) = ( 80770 × 80786) / 2
LCM(80770,80786) = 6525085220 / 2
LCM(80770,80786) = 3262542610

Least Common Multiple (LCM) of 80770 and 80786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80770 and 80786. First we will calculate the prime factors of 80770 and 80786.

Prime Factorization of 80770

Prime Factorization of 80786

Now multiplying the highest exponent prime factors to calculate the LCM of 80770 and 80786.

LCM(80770,80786) = 2¹ × 5¹ × 41¹ × 197¹ × 31¹ × 1303¹
LCM(80770,80786) = 3262542610