What is the Least Common Multiple of 88786 and 88793?

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 88786 and 88793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88786 and 88793, than apply into the LCM equation.

GCF(88786,88793) = 1
LCM(88786,88793) = ( 88786 × 88793) / 1
LCM(88786,88793) = 7883575298 / 1
LCM(88786,88793) = 7883575298

Least Common Multiple (LCM) of 88786 and 88793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88786 and 88793. First we will calculate the prime factors of 88786 and 88793.

Prime Factorization of 88786

Prime Factorization of 88793

Now multiplying the highest exponent prime factors to calculate the LCM of 88786 and 88793.

LCM(88786,88793) = 2¹ × 103¹ × 431¹ × 88793¹
LCM(88786,88793) = 7883575298