What is the Least Common Multiple of 73287 and 73304?

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 73287 and 73304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73287 and 73304, than apply into the LCM equation.

GCF(73287,73304) = 17
LCM(73287,73304) = ( 73287 × 73304) / 17
LCM(73287,73304) = 5372230248 / 17
LCM(73287,73304) = 316013544

Least Common Multiple (LCM) of 73287 and 73304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73287 and 73304. First we will calculate the prime factors of 73287 and 73304.

Prime Factorization of 73287

Prime Factorization of 73304

Now multiplying the highest exponent prime factors to calculate the LCM of 73287 and 73304.

LCM(73287,73304) = 3² × 17¹ × 479¹ × 2³ × 7² × 11¹
LCM(73287,73304) = 316013544