What is the Least Common Multiple of 88218 and 88223?

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 88218 and 88223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88218 and 88223, than apply into the LCM equation.

GCF(88218,88223) = 1
LCM(88218,88223) = ( 88218 × 88223) / 1
LCM(88218,88223) = 7782856614 / 1
LCM(88218,88223) = 7782856614

Least Common Multiple (LCM) of 88218 and 88223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88218 and 88223. First we will calculate the prime factors of 88218 and 88223.

Prime Factorization of 88218

Prime Factorization of 88223

Now multiplying the highest exponent prime factors to calculate the LCM of 88218 and 88223.

LCM(88218,88223) = 2¹ × 3² × 13² × 29¹ × 88223¹
LCM(88218,88223) = 7782856614