What is the Least Common Multiple of 72600 and 72611?

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 72600 and 72611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72600 and 72611, than apply into the LCM equation.

GCF(72600,72611) = 11
LCM(72600,72611) = ( 72600 × 72611) / 11
LCM(72600,72611) = 5271558600 / 11
LCM(72600,72611) = 479232600

Least Common Multiple (LCM) of 72600 and 72611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72600 and 72611. First we will calculate the prime factors of 72600 and 72611.

Prime Factorization of 72600

Prime Factorization of 72611

Now multiplying the highest exponent prime factors to calculate the LCM of 72600 and 72611.

LCM(72600,72611) = 2³ × 3¹ × 5² × 11² × 7¹ × 23¹ × 41¹
LCM(72600,72611) = 479232600