What is the Least Common Multiple of 88400 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 88400 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 88400 and 88418, than apply into the LCM equation.

GCF(88400,88418) = 2
LCM(88400,88418) = ( 88400 × 88418) / 2
LCM(88400,88418) = 7816151200 / 2
LCM(88400,88418) = 3908075600

Least Common Multiple (LCM) of 88400 and 88418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88400 and 88418. First we will calculate the prime factors of 88400 and 88418.

Prime Factorization of 88400

Prime Factorization of 88418

Now multiplying the highest exponent prime factors to calculate the LCM of 88400 and 88418.

LCM(88400,88418) = 2⁴ × 5² × 13¹ × 17¹ × 11¹ × 4019¹
LCM(88400,88418) = 3908075600