What is the Least Common Multiple of 88408 and 88412?

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 88408 and 88412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88408 and 88412, than apply into the LCM equation.

GCF(88408,88412) = 4
LCM(88408,88412) = ( 88408 × 88412) / 4
LCM(88408,88412) = 7816328096 / 4
LCM(88408,88412) = 1954082024

Least Common Multiple (LCM) of 88408 and 88412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88408 and 88412. First we will calculate the prime factors of 88408 and 88412.

Prime Factorization of 88408

Prime Factorization of 88412

Now multiplying the highest exponent prime factors to calculate the LCM of 88408 and 88412.

LCM(88408,88412) = 2³ × 43¹ × 257¹ × 23¹ × 31²
LCM(88408,88412) = 1954082024