What is the Least Common Multiple of 88324 and 88338?

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 88324 and 88338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88324 and 88338, than apply into the LCM equation.

GCF(88324,88338) = 2
LCM(88324,88338) = ( 88324 × 88338) / 2
LCM(88324,88338) = 7802365512 / 2
LCM(88324,88338) = 3901182756

Least Common Multiple (LCM) of 88324 and 88338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88324 and 88338. First we will calculate the prime factors of 88324 and 88338.

Prime Factorization of 88324

Prime Factorization of 88338

Now multiplying the highest exponent prime factors to calculate the LCM of 88324 and 88338.

LCM(88324,88338) = 2² × 71¹ × 311¹ × 3¹ × 14723¹
LCM(88324,88338) = 3901182756