What is the Least Common Multiple of 72294 and 72300?

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 72294 and 72300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72294 and 72300, than apply into the LCM equation.

GCF(72294,72300) = 6
LCM(72294,72300) = ( 72294 × 72300) / 6
LCM(72294,72300) = 5226856200 / 6
LCM(72294,72300) = 871142700

Least Common Multiple (LCM) of 72294 and 72300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72294 and 72300. First we will calculate the prime factors of 72294 and 72300.

Prime Factorization of 72294

Prime Factorization of 72300

Now multiplying the highest exponent prime factors to calculate the LCM of 72294 and 72300.

LCM(72294,72300) = 2² × 3¹ × 12049¹ × 5² × 241¹
LCM(72294,72300) = 871142700