What is the Least Common Multiple of 80310 and 80314?

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 80310 and 80314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80310 and 80314, than apply into the LCM equation.

GCF(80310,80314) = 2
LCM(80310,80314) = ( 80310 × 80314) / 2
LCM(80310,80314) = 6450017340 / 2
LCM(80310,80314) = 3225008670

Least Common Multiple (LCM) of 80310 and 80314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80310 and 80314. First we will calculate the prime factors of 80310 and 80314.

Prime Factorization of 80310

Prime Factorization of 80314

Now multiplying the highest exponent prime factors to calculate the LCM of 80310 and 80314.

LCM(80310,80314) = 2¹ × 3¹ × 5¹ × 2677¹ × 13¹ × 3089¹
LCM(80310,80314) = 3225008670