What is the Least Common Multiple of 88683 and 88689?

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 88683 and 88689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88683 and 88689, than apply into the LCM equation.

GCF(88683,88689) = 3
LCM(88683,88689) = ( 88683 × 88689) / 3
LCM(88683,88689) = 7865206587 / 3
LCM(88683,88689) = 2621735529

Least Common Multiple (LCM) of 88683 and 88689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88683 and 88689. First we will calculate the prime factors of 88683 and 88689.

Prime Factorization of 88683

Prime Factorization of 88689

Now multiplying the highest exponent prime factors to calculate the LCM of 88683 and 88689.

LCM(88683,88689) = 3¹ × 7¹ × 41¹ × 103¹ × 17¹ × 37¹ × 47¹
LCM(88683,88689) = 2621735529