What is the Least Common Multiple of 88810 and 88817?

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 88810 and 88817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88810 and 88817, than apply into the LCM equation.

GCF(88810,88817) = 1
LCM(88810,88817) = ( 88810 × 88817) / 1
LCM(88810,88817) = 7887837770 / 1
LCM(88810,88817) = 7887837770

Least Common Multiple (LCM) of 88810 and 88817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88810 and 88817. First we will calculate the prime factors of 88810 and 88817.

Prime Factorization of 88810

Prime Factorization of 88817

Now multiplying the highest exponent prime factors to calculate the LCM of 88810 and 88817.

LCM(88810,88817) = 2¹ × 5¹ × 83¹ × 107¹ × 88817¹
LCM(88810,88817) = 7887837770