What is the Least Common Multiple of 72756 and 72765?

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 72756 and 72765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72756 and 72765, than apply into the LCM equation.

GCF(72756,72765) = 9
LCM(72756,72765) = ( 72756 × 72765) / 9
LCM(72756,72765) = 5294090340 / 9
LCM(72756,72765) = 588232260

Least Common Multiple (LCM) of 72756 and 72765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72756 and 72765. First we will calculate the prime factors of 72756 and 72765.

Prime Factorization of 72756

Prime Factorization of 72765

Now multiplying the highest exponent prime factors to calculate the LCM of 72756 and 72765.

LCM(72756,72765) = 2² × 3³ × 43¹ × 47¹ × 5¹ × 7² × 11¹
LCM(72756,72765) = 588232260