What is the Least Common Multiple of 73284 and 73292?

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 73284 and 73292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73284 and 73292, than apply into the LCM equation.

GCF(73284,73292) = 4
LCM(73284,73292) = ( 73284 × 73292) / 4
LCM(73284,73292) = 5371130928 / 4
LCM(73284,73292) = 1342782732

Least Common Multiple (LCM) of 73284 and 73292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73284 and 73292. First we will calculate the prime factors of 73284 and 73292.

Prime Factorization of 73284

Prime Factorization of 73292

Now multiplying the highest exponent prime factors to calculate the LCM of 73284 and 73292.

LCM(73284,73292) = 2² × 3¹ × 31¹ × 197¹ × 73¹ × 251¹
LCM(73284,73292) = 1342782732