What is the Least Common Multiple of 88633 and 88638?

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 88633 and 88638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88633 and 88638, than apply into the LCM equation.

GCF(88633,88638) = 1
LCM(88633,88638) = ( 88633 × 88638) / 1
LCM(88633,88638) = 7856251854 / 1
LCM(88633,88638) = 7856251854

Least Common Multiple (LCM) of 88633 and 88638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88633 and 88638. First we will calculate the prime factors of 88633 and 88638.

Prime Factorization of 88633

Prime Factorization of 88638

Now multiplying the highest exponent prime factors to calculate the LCM of 88633 and 88638.

LCM(88633,88638) = 61¹ × 1453¹ × 2¹ × 3¹ × 11¹ × 17¹ × 79¹
LCM(88633,88638) = 7856251854