What is the Least Common Multiple of 80505 and 80514?

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 80505 and 80514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80505 and 80514, than apply into the LCM equation.

GCF(80505,80514) = 9
LCM(80505,80514) = ( 80505 × 80514) / 9
LCM(80505,80514) = 6481779570 / 9
LCM(80505,80514) = 720197730

Least Common Multiple (LCM) of 80505 and 80514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80505 and 80514. First we will calculate the prime factors of 80505 and 80514.

Prime Factorization of 80505

Prime Factorization of 80514

Now multiplying the highest exponent prime factors to calculate the LCM of 80505 and 80514.

LCM(80505,80514) = 3⁴ × 5¹ × 1789¹ × 2¹ × 7¹ × 71¹
LCM(80505,80514) = 720197730