What is the Least Common Multiple of 88113 and 88129?

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 88113 and 88129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88113 and 88129, than apply into the LCM equation.

GCF(88113,88129) = 1
LCM(88113,88129) = ( 88113 × 88129) / 1
LCM(88113,88129) = 7765310577 / 1
LCM(88113,88129) = 7765310577

Least Common Multiple (LCM) of 88113 and 88129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88113 and 88129. First we will calculate the prime factors of 88113 and 88129.

Prime Factorization of 88113

Prime Factorization of 88129

Now multiplying the highest exponent prime factors to calculate the LCM of 88113 and 88129.

LCM(88113,88129) = 3¹ × 23¹ × 1277¹ × 88129¹
LCM(88113,88129) = 7765310577