What is the Least Common Multiple of 88800 and 88814?

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 88814 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 88814, than apply into the LCM equation.

GCF(88800,88814) = 2
LCM(88800,88814) = ( 88800 × 88814) / 2
LCM(88800,88814) = 7886683200 / 2
LCM(88800,88814) = 3943341600

Least Common Multiple (LCM) of 88800 and 88814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88800 and 88814. First we will calculate the prime factors of 88800 and 88814.

Prime Factorization of 88800

Prime Factorization of 88814

Now multiplying the highest exponent prime factors to calculate the LCM of 88800 and 88814.

LCM(88800,88814) = 2⁵ × 3¹ × 5² × 37¹ × 11² × 367¹
LCM(88800,88814) = 3943341600