What is the Least Common Multiple of 71565 and 71580?

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 71565 and 71580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71565 and 71580, than apply into the LCM equation.

GCF(71565,71580) = 15
LCM(71565,71580) = ( 71565 × 71580) / 15
LCM(71565,71580) = 5122622700 / 15
LCM(71565,71580) = 341508180

Least Common Multiple (LCM) of 71565 and 71580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71565 and 71580. First we will calculate the prime factors of 71565 and 71580.

Prime Factorization of 71565

Prime Factorization of 71580

Now multiplying the highest exponent prime factors to calculate the LCM of 71565 and 71580.

LCM(71565,71580) = 3¹ × 5¹ × 13¹ × 367¹ × 2² × 1193¹
LCM(71565,71580) = 341508180