What is the Least Common Multiple of 73289 and 73293?

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 73289 and 73293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73289 and 73293, than apply into the LCM equation.

GCF(73289,73293) = 1
LCM(73289,73293) = ( 73289 × 73293) / 1
LCM(73289,73293) = 5371570677 / 1
LCM(73289,73293) = 5371570677

Least Common Multiple (LCM) of 73289 and 73293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73289 and 73293. First we will calculate the prime factors of 73289 and 73293.

Prime Factorization of 73289

Prime Factorization of 73293

Now multiplying the highest exponent prime factors to calculate the LCM of 73289 and 73293.

LCM(73289,73293) = 83¹ × 883¹ × 3¹ × 11¹ × 2221¹
LCM(73289,73293) = 5371570677