What is the Least Common Multiple of 80305 and 80320?

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 80305 and 80320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80305 and 80320, than apply into the LCM equation.

GCF(80305,80320) = 5
LCM(80305,80320) = ( 80305 × 80320) / 5
LCM(80305,80320) = 6450097600 / 5
LCM(80305,80320) = 1290019520

Least Common Multiple (LCM) of 80305 and 80320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80305 and 80320. First we will calculate the prime factors of 80305 and 80320.

Prime Factorization of 80305

Prime Factorization of 80320

Now multiplying the highest exponent prime factors to calculate the LCM of 80305 and 80320.

LCM(80305,80320) = 5¹ × 16061¹ × 2⁶ × 251¹
LCM(80305,80320) = 1290019520