What is the Least Common Multiple of 88689 and 88693?

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 88693 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 88693, than apply into the LCM equation.

GCF(88689,88693) = 1
LCM(88689,88693) = ( 88689 × 88693) / 1
LCM(88689,88693) = 7866093477 / 1
LCM(88689,88693) = 7866093477

Least Common Multiple (LCM) of 88689 and 88693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88689 and 88693. First we will calculate the prime factors of 88689 and 88693.

Prime Factorization of 88689

Prime Factorization of 88693

Now multiplying the highest exponent prime factors to calculate the LCM of 88689 and 88693.

LCM(88689,88693) = 3¹ × 17¹ × 37¹ × 47¹ × 11² × 733¹
LCM(88689,88693) = 7866093477