What is the Least Common Multiple of 88144 and 88163?

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 88144 and 88163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88144 and 88163, than apply into the LCM equation.

GCF(88144,88163) = 1
LCM(88144,88163) = ( 88144 × 88163) / 1
LCM(88144,88163) = 7771039472 / 1
LCM(88144,88163) = 7771039472

Least Common Multiple (LCM) of 88144 and 88163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88144 and 88163. First we will calculate the prime factors of 88144 and 88163.

Prime Factorization of 88144

Prime Factorization of 88163

Now multiplying the highest exponent prime factors to calculate the LCM of 88144 and 88163.

LCM(88144,88163) = 2⁴ × 7¹ × 787¹ × 131¹ × 673¹
LCM(88144,88163) = 7771039472