What is the Least Common Multiple of 89966 and 89973?

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 89966 and 89973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89966 and 89973, than apply into the LCM equation.

GCF(89966,89973) = 1
LCM(89966,89973) = ( 89966 × 89973) / 1
LCM(89966,89973) = 8094510918 / 1
LCM(89966,89973) = 8094510918

Least Common Multiple (LCM) of 89966 and 89973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89966 and 89973. First we will calculate the prime factors of 89966 and 89973.

Prime Factorization of 89966

Prime Factorization of 89973

Now multiplying the highest exponent prime factors to calculate the LCM of 89966 and 89973.

LCM(89966,89973) = 2¹ × 44983¹ × 3² × 13¹ × 769¹
LCM(89966,89973) = 8094510918