What is the Least Common Multiple of 88811 and 88828?

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 88811 and 88828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88811 and 88828, than apply into the LCM equation.

GCF(88811,88828) = 1
LCM(88811,88828) = ( 88811 × 88828) / 1
LCM(88811,88828) = 7888903508 / 1
LCM(88811,88828) = 7888903508

Least Common Multiple (LCM) of 88811 and 88828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88811 and 88828. First we will calculate the prime factors of 88811 and 88828.

Prime Factorization of 88811

Prime Factorization of 88828

Now multiplying the highest exponent prime factors to calculate the LCM of 88811 and 88828.

LCM(88811,88828) = 88811¹ × 2² × 53¹ × 419¹
LCM(88811,88828) = 7888903508