What is the Least Common Multiple of 80570 and 80575?

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 80570 and 80575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80570 and 80575, than apply into the LCM equation.

GCF(80570,80575) = 5
LCM(80570,80575) = ( 80570 × 80575) / 5
LCM(80570,80575) = 6491927750 / 5
LCM(80570,80575) = 1298385550

Least Common Multiple (LCM) of 80570 and 80575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80570 and 80575. First we will calculate the prime factors of 80570 and 80575.

Prime Factorization of 80570

Prime Factorization of 80575

Now multiplying the highest exponent prime factors to calculate the LCM of 80570 and 80575.

LCM(80570,80575) = 2¹ × 5² × 7¹ × 1151¹ × 11¹ × 293¹
LCM(80570,80575) = 1298385550