What is the Least Common Multiple of 66966 and 66973?

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 66966 and 66973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66966 and 66973, than apply into the LCM equation.

GCF(66966,66973) = 1
LCM(66966,66973) = ( 66966 × 66973) / 1
LCM(66966,66973) = 4484913918 / 1
LCM(66966,66973) = 4484913918

Least Common Multiple (LCM) of 66966 and 66973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66966 and 66973. First we will calculate the prime factors of 66966 and 66973.

Prime Factorization of 66966

Prime Factorization of 66973

Now multiplying the highest exponent prime factors to calculate the LCM of 66966 and 66973.

LCM(66966,66973) = 2¹ × 3¹ × 11161¹ × 66973¹
LCM(66966,66973) = 4484913918