What is the Least Common Multiple of 73599 and 73611?

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 73599 and 73611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73599 and 73611, than apply into the LCM equation.

GCF(73599,73611) = 3
LCM(73599,73611) = ( 73599 × 73611) / 3
LCM(73599,73611) = 5417695989 / 3
LCM(73599,73611) = 1805898663

Least Common Multiple (LCM) of 73599 and 73611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73599 and 73611. First we will calculate the prime factors of 73599 and 73611.

Prime Factorization of 73599

Prime Factorization of 73611

Now multiplying the highest exponent prime factors to calculate the LCM of 73599 and 73611.

LCM(73599,73611) = 3² × 24533¹ × 8179¹
LCM(73599,73611) = 1805898663