What is the Least Common Multiple of 73076 and 73089?

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 73076 and 73089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73076 and 73089, than apply into the LCM equation.

GCF(73076,73089) = 1
LCM(73076,73089) = ( 73076 × 73089) / 1
LCM(73076,73089) = 5341051764 / 1
LCM(73076,73089) = 5341051764

Least Common Multiple (LCM) of 73076 and 73089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73076 and 73089. First we will calculate the prime factors of 73076 and 73089.

Prime Factorization of 73076

Prime Factorization of 73089

Now multiplying the highest exponent prime factors to calculate the LCM of 73076 and 73089.

LCM(73076,73089) = 2² × 18269¹ × 3³ × 2707¹
LCM(73076,73089) = 5341051764