What is the Least Common Multiple of 88164 and 88179?

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 88164 and 88179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88164 and 88179, than apply into the LCM equation.

GCF(88164,88179) = 3
LCM(88164,88179) = ( 88164 × 88179) / 3
LCM(88164,88179) = 7774213356 / 3
LCM(88164,88179) = 2591404452

Least Common Multiple (LCM) of 88164 and 88179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88164 and 88179. First we will calculate the prime factors of 88164 and 88179.

Prime Factorization of 88164

Prime Factorization of 88179

Now multiplying the highest exponent prime factors to calculate the LCM of 88164 and 88179.

LCM(88164,88179) = 2² × 3² × 31¹ × 79¹ × 7¹ × 13¹ × 17¹ × 19¹
LCM(88164,88179) = 2591404452