What is the Least Common Multiple of 72565 and 72580?

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 72565 and 72580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72565 and 72580, than apply into the LCM equation.

GCF(72565,72580) = 5
LCM(72565,72580) = ( 72565 × 72580) / 5
LCM(72565,72580) = 5266767700 / 5
LCM(72565,72580) = 1053353540

Least Common Multiple (LCM) of 72565 and 72580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72565 and 72580. First we will calculate the prime factors of 72565 and 72580.

Prime Factorization of 72565

Prime Factorization of 72580

Now multiplying the highest exponent prime factors to calculate the LCM of 72565 and 72580.

LCM(72565,72580) = 5¹ × 23¹ × 631¹ × 2² × 19¹ × 191¹
LCM(72565,72580) = 1053353540