What is the Least Common Multiple of 73689 and 73707?

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 73689 and 73707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73689 and 73707, than apply into the LCM equation.

GCF(73689,73707) = 3
LCM(73689,73707) = ( 73689 × 73707) / 3
LCM(73689,73707) = 5431395123 / 3
LCM(73689,73707) = 1810465041

Least Common Multiple (LCM) of 73689 and 73707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73689 and 73707. First we will calculate the prime factors of 73689 and 73707.

Prime Factorization of 73689

Prime Factorization of 73707

Now multiplying the highest exponent prime factors to calculate the LCM of 73689 and 73707.

LCM(73689,73707) = 3¹ × 7¹ × 11² × 29¹ × 79¹ × 311¹
LCM(73689,73707) = 1810465041