What is the Least Common Multiple of 88409 and 88418?

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 88409 and 88418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88409 and 88418, than apply into the LCM equation.

GCF(88409,88418) = 1
LCM(88409,88418) = ( 88409 × 88418) / 1
LCM(88409,88418) = 7816946962 / 1
LCM(88409,88418) = 7816946962

Least Common Multiple (LCM) of 88409 and 88418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88409 and 88418. First we will calculate the prime factors of 88409 and 88418.

Prime Factorization of 88409

Prime Factorization of 88418

Now multiplying the highest exponent prime factors to calculate the LCM of 88409 and 88418.

LCM(88409,88418) = 211¹ × 419¹ × 2¹ × 11¹ × 4019¹
LCM(88409,88418) = 7816946962