What is the Least Common Multiple of 88044 and 88059?

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 88044 and 88059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88044 and 88059, than apply into the LCM equation.

GCF(88044,88059) = 3
LCM(88044,88059) = ( 88044 × 88059) / 3
LCM(88044,88059) = 7753066596 / 3
LCM(88044,88059) = 2584355532

Least Common Multiple (LCM) of 88044 and 88059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88044 and 88059. First we will calculate the prime factors of 88044 and 88059.

Prime Factorization of 88044

Prime Factorization of 88059

Now multiplying the highest exponent prime factors to calculate the LCM of 88044 and 88059.

LCM(88044,88059) = 2² × 3¹ × 11¹ × 23¹ × 29¹ × 149¹ × 197¹
LCM(88044,88059) = 2584355532