What is the Least Common Multiple of 72549 and 72565?

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 72549 and 72565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72549 and 72565, than apply into the LCM equation.

GCF(72549,72565) = 1
LCM(72549,72565) = ( 72549 × 72565) / 1
LCM(72549,72565) = 5264518185 / 1
LCM(72549,72565) = 5264518185

Least Common Multiple (LCM) of 72549 and 72565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72549 and 72565. First we will calculate the prime factors of 72549 and 72565.

Prime Factorization of 72549

Prime Factorization of 72565

Now multiplying the highest exponent prime factors to calculate the LCM of 72549 and 72565.

LCM(72549,72565) = 3³ × 2687¹ × 5¹ × 23¹ × 631¹
LCM(72549,72565) = 5264518185