What is the Least Common Multiple of 80565 and 80572?

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 80572 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 80572, than apply into the LCM equation.

GCF(80565,80572) = 1
LCM(80565,80572) = ( 80565 × 80572) / 1
LCM(80565,80572) = 6491283180 / 1
LCM(80565,80572) = 6491283180

Least Common Multiple (LCM) of 80565 and 80572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80565 and 80572. First we will calculate the prime factors of 80565 and 80572.

Prime Factorization of 80565

Prime Factorization of 80572

Now multiplying the highest exponent prime factors to calculate the LCM of 80565 and 80572.

LCM(80565,80572) = 3¹ × 5¹ × 41¹ × 131¹ × 2² × 20143¹
LCM(80565,80572) = 6491283180