What is the Least Common Multiple of 88160 and 88178?

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 88160 and 88178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88160 and 88178, than apply into the LCM equation.

GCF(88160,88178) = 2
LCM(88160,88178) = ( 88160 × 88178) / 2
LCM(88160,88178) = 7773772480 / 2
LCM(88160,88178) = 3886886240

Least Common Multiple (LCM) of 88160 and 88178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88160 and 88178. First we will calculate the prime factors of 88160 and 88178.

Prime Factorization of 88160

Prime Factorization of 88178

Now multiplying the highest exponent prime factors to calculate the LCM of 88160 and 88178.

LCM(88160,88178) = 2⁵ × 5¹ × 19¹ × 29¹ × 44089¹
LCM(88160,88178) = 3886886240