What is the Least Common Multiple of 88603 and 88623?

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 88603 and 88623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88603 and 88623, than apply into the LCM equation.

GCF(88603,88623) = 1
LCM(88603,88623) = ( 88603 × 88623) / 1
LCM(88603,88623) = 7852263669 / 1
LCM(88603,88623) = 7852263669

Least Common Multiple (LCM) of 88603 and 88623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88603 and 88623. First we will calculate the prime factors of 88603 and 88623.

Prime Factorization of 88603

Prime Factorization of 88623

Now multiplying the highest exponent prime factors to calculate the LCM of 88603 and 88623.

LCM(88603,88623) = 251¹ × 353¹ × 3² × 43¹ × 229¹
LCM(88603,88623) = 7852263669