What is the Least Common Multiple of 88802 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 88802 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 88802 and 88814, than apply into the LCM equation.

GCF(88802,88814) = 2
LCM(88802,88814) = ( 88802 × 88814) / 2
LCM(88802,88814) = 7886860828 / 2
LCM(88802,88814) = 3943430414

Least Common Multiple (LCM) of 88802 and 88814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88802 and 88814. First we will calculate the prime factors of 88802 and 88814.

Prime Factorization of 88802

Prime Factorization of 88814

Now multiplying the highest exponent prime factors to calculate the LCM of 88802 and 88814.

LCM(88802,88814) = 2¹ × 7¹ × 6343¹ × 11² × 367¹
LCM(88802,88814) = 3943430414