What is the Least Common Multiple of 88800 and 88805?

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 88800 and 88805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88800 and 88805, than apply into the LCM equation.

GCF(88800,88805) = 5
LCM(88800,88805) = ( 88800 × 88805) / 5
LCM(88800,88805) = 7885884000 / 5
LCM(88800,88805) = 1577176800

Least Common Multiple (LCM) of 88800 and 88805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88800 and 88805. First we will calculate the prime factors of 88800 and 88805.

Prime Factorization of 88800

Prime Factorization of 88805

Now multiplying the highest exponent prime factors to calculate the LCM of 88800 and 88805.

LCM(88800,88805) = 2⁵ × 3¹ × 5² × 37¹ × 17761¹
LCM(88800,88805) = 1577176800