What is the Least Common Multiple of 80304 and 80310?

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 80304 and 80310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80304 and 80310, than apply into the LCM equation.

GCF(80304,80310) = 6
LCM(80304,80310) = ( 80304 × 80310) / 6
LCM(80304,80310) = 6449214240 / 6
LCM(80304,80310) = 1074869040

Least Common Multiple (LCM) of 80304 and 80310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80304 and 80310. First we will calculate the prime factors of 80304 and 80310.

Prime Factorization of 80304

Prime Factorization of 80310

Now multiplying the highest exponent prime factors to calculate the LCM of 80304 and 80310.

LCM(80304,80310) = 2⁴ × 3¹ × 7¹ × 239¹ × 5¹ × 2677¹
LCM(80304,80310) = 1074869040