What is the Least Common Multiple of 73269 and 73284?

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 73269 and 73284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73269 and 73284, than apply into the LCM equation.

GCF(73269,73284) = 3
LCM(73269,73284) = ( 73269 × 73284) / 3
LCM(73269,73284) = 5369445396 / 3
LCM(73269,73284) = 1789815132

Least Common Multiple (LCM) of 73269 and 73284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73269 and 73284. First we will calculate the prime factors of 73269 and 73284.

Prime Factorization of 73269

Prime Factorization of 73284

Now multiplying the highest exponent prime factors to calculate the LCM of 73269 and 73284.

LCM(73269,73284) = 3² × 7¹ × 1163¹ × 2² × 31¹ × 197¹
LCM(73269,73284) = 1789815132