What is the Least Common Multiple of 88604 and 88621?

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 88604 and 88621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88604 and 88621, than apply into the LCM equation.

GCF(88604,88621) = 17
LCM(88604,88621) = ( 88604 × 88621) / 17
LCM(88604,88621) = 7852175084 / 17
LCM(88604,88621) = 461892652

Least Common Multiple (LCM) of 88604 and 88621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88604 and 88621. First we will calculate the prime factors of 88604 and 88621.

Prime Factorization of 88604

Prime Factorization of 88621

Now multiplying the highest exponent prime factors to calculate the LCM of 88604 and 88621.

LCM(88604,88621) = 2² × 17¹ × 1303¹ × 13¹ × 401¹
LCM(88604,88621) = 461892652