What is the Least Common Multiple of 88689 and 88697?

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 88689 and 88697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88689 and 88697, than apply into the LCM equation.

GCF(88689,88697) = 1
LCM(88689,88697) = ( 88689 × 88697) / 1
LCM(88689,88697) = 7866448233 / 1
LCM(88689,88697) = 7866448233

Least Common Multiple (LCM) of 88689 and 88697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88689 and 88697. First we will calculate the prime factors of 88689 and 88697.

Prime Factorization of 88689

Prime Factorization of 88697

Now multiplying the highest exponent prime factors to calculate the LCM of 88689 and 88697.

LCM(88689,88697) = 3¹ × 17¹ × 37¹ × 47¹ × 7¹ × 12671¹
LCM(88689,88697) = 7866448233