What is the Least Common Multiple of 88638 and 88652?

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 88638 and 88652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88638 and 88652, than apply into the LCM equation.

GCF(88638,88652) = 2
LCM(88638,88652) = ( 88638 × 88652) / 2
LCM(88638,88652) = 7857935976 / 2
LCM(88638,88652) = 3928967988

Least Common Multiple (LCM) of 88638 and 88652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88638 and 88652. First we will calculate the prime factors of 88638 and 88652.

Prime Factorization of 88638

Prime Factorization of 88652

Now multiplying the highest exponent prime factors to calculate the LCM of 88638 and 88652.

LCM(88638,88652) = 2² × 3¹ × 11¹ × 17¹ × 79¹ × 37¹ × 599¹
LCM(88638,88652) = 3928967988