What is the Least Common Multiple of 72300 and 72318?

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 72300 and 72318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72300 and 72318, than apply into the LCM equation.

GCF(72300,72318) = 6
LCM(72300,72318) = ( 72300 × 72318) / 6
LCM(72300,72318) = 5228591400 / 6
LCM(72300,72318) = 871431900

Least Common Multiple (LCM) of 72300 and 72318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72300 and 72318. First we will calculate the prime factors of 72300 and 72318.

Prime Factorization of 72300

Prime Factorization of 72318

Now multiplying the highest exponent prime factors to calculate the LCM of 72300 and 72318.

LCM(72300,72318) = 2² × 3¹ × 5² × 241¹ × 17¹ × 709¹
LCM(72300,72318) = 871431900