What is the Least Common Multiple of 80966 and 80973?

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 80966 and 80973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80966 and 80973, than apply into the LCM equation.

GCF(80966,80973) = 1
LCM(80966,80973) = ( 80966 × 80973) / 1
LCM(80966,80973) = 6556059918 / 1
LCM(80966,80973) = 6556059918

Least Common Multiple (LCM) of 80966 and 80973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80966 and 80973. First we will calculate the prime factors of 80966 and 80973.

Prime Factorization of 80966

Prime Factorization of 80973

Now multiplying the highest exponent prime factors to calculate the LCM of 80966 and 80973.

LCM(80966,80973) = 2¹ × 40483¹ × 3³ × 2999¹
LCM(80966,80973) = 6556059918