What is the Least Common Multiple of 73083 and 73100?

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 73083 and 73100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73083 and 73100, than apply into the LCM equation.

GCF(73083,73100) = 17
LCM(73083,73100) = ( 73083 × 73100) / 17
LCM(73083,73100) = 5342367300 / 17
LCM(73083,73100) = 314256900

Least Common Multiple (LCM) of 73083 and 73100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73083 and 73100. First we will calculate the prime factors of 73083 and 73100.

Prime Factorization of 73083

Prime Factorization of 73100

Now multiplying the highest exponent prime factors to calculate the LCM of 73083 and 73100.

LCM(73083,73100) = 3¹ × 17¹ × 1433¹ × 2² × 5² × 43¹
LCM(73083,73100) = 314256900