What is the Least Common Multiple of 88496 and 88500?

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 88496 and 88500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88496 and 88500, than apply into the LCM equation.

GCF(88496,88500) = 4
LCM(88496,88500) = ( 88496 × 88500) / 4
LCM(88496,88500) = 7831896000 / 4
LCM(88496,88500) = 1957974000

Least Common Multiple (LCM) of 88496 and 88500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88496 and 88500. First we will calculate the prime factors of 88496 and 88500.

Prime Factorization of 88496

Prime Factorization of 88500

Now multiplying the highest exponent prime factors to calculate the LCM of 88496 and 88500.

LCM(88496,88500) = 2⁴ × 5531¹ × 3¹ × 5³ × 59¹
LCM(88496,88500) = 1957974000