What is the Least Common Multiple of 80565 and 80570?

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 80565 and 80570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80565 and 80570, than apply into the LCM equation.

GCF(80565,80570) = 5
LCM(80565,80570) = ( 80565 × 80570) / 5
LCM(80565,80570) = 6491122050 / 5
LCM(80565,80570) = 1298224410

Least Common Multiple (LCM) of 80565 and 80570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80565 and 80570. First we will calculate the prime factors of 80565 and 80570.

Prime Factorization of 80565

Prime Factorization of 80570

Now multiplying the highest exponent prime factors to calculate the LCM of 80565 and 80570.

LCM(80565,80570) = 3¹ × 5¹ × 41¹ × 131¹ × 2¹ × 7¹ × 1151¹
LCM(80565,80570) = 1298224410