What is the Least Common Multiple of 73689 and 73709?

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 73709 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 73709, than apply into the LCM equation.

GCF(73689,73709) = 1
LCM(73689,73709) = ( 73689 × 73709) / 1
LCM(73689,73709) = 5431542501 / 1
LCM(73689,73709) = 5431542501

Least Common Multiple (LCM) of 73689 and 73709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73689 and 73709. First we will calculate the prime factors of 73689 and 73709.

Prime Factorization of 73689

Prime Factorization of 73709

Now multiplying the highest exponent prime factors to calculate the LCM of 73689 and 73709.

LCM(73689,73709) = 3¹ × 7¹ × 11² × 29¹ × 73709¹
LCM(73689,73709) = 5431542501