What is the Least Common Multiple of 73066 and 73083?

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 73066 and 73083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73066 and 73083, than apply into the LCM equation.

GCF(73066,73083) = 17
LCM(73066,73083) = ( 73066 × 73083) / 17
LCM(73066,73083) = 5339882478 / 17
LCM(73066,73083) = 314110734

Least Common Multiple (LCM) of 73066 and 73083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73066 and 73083. First we will calculate the prime factors of 73066 and 73083.

Prime Factorization of 73066

Prime Factorization of 73083

Now multiplying the highest exponent prime factors to calculate the LCM of 73066 and 73083.

LCM(73066,73083) = 2¹ × 7¹ × 17¹ × 307¹ × 3¹ × 1433¹
LCM(73066,73083) = 314110734