What is the Least Common Multiple of 88450 and 88466?

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 88450 and 88466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88450 and 88466, than apply into the LCM equation.

GCF(88450,88466) = 2
LCM(88450,88466) = ( 88450 × 88466) / 2
LCM(88450,88466) = 7824817700 / 2
LCM(88450,88466) = 3912408850

Least Common Multiple (LCM) of 88450 and 88466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88450 and 88466. First we will calculate the prime factors of 88450 and 88466.

Prime Factorization of 88450

Prime Factorization of 88466

Now multiplying the highest exponent prime factors to calculate the LCM of 88450 and 88466.

LCM(88450,88466) = 2¹ × 5² × 29¹ × 61¹ × 7¹ × 71¹ × 89¹
LCM(88450,88466) = 3912408850