What is the Least Common Multiple of 73266 and 73281?

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 73266 and 73281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73266 and 73281, than apply into the LCM equation.

GCF(73266,73281) = 3
LCM(73266,73281) = ( 73266 × 73281) / 3
LCM(73266,73281) = 5369005746 / 3
LCM(73266,73281) = 1789668582

Least Common Multiple (LCM) of 73266 and 73281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73266 and 73281. First we will calculate the prime factors of 73266 and 73281.

Prime Factorization of 73266

Prime Factorization of 73281

Now multiplying the highest exponent prime factors to calculate the LCM of 73266 and 73281.

LCM(73266,73281) = 2¹ × 3¹ × 12211¹ × 13¹ × 1879¹
LCM(73266,73281) = 1789668582