What is the Least Common Multiple of 88024 and 88040?

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 88024 and 88040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88024 and 88040, than apply into the LCM equation.

GCF(88024,88040) = 8
LCM(88024,88040) = ( 88024 × 88040) / 8
LCM(88024,88040) = 7749632960 / 8
LCM(88024,88040) = 968704120

Least Common Multiple (LCM) of 88024 and 88040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88024 and 88040. First we will calculate the prime factors of 88024 and 88040.

Prime Factorization of 88024

Prime Factorization of 88040

Now multiplying the highest exponent prime factors to calculate the LCM of 88024 and 88040.

LCM(88024,88040) = 2³ × 11003¹ × 5¹ × 31¹ × 71¹
LCM(88024,88040) = 968704120