What is the Least Common Multiple of 88218 and 88230?

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 88230 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 88230, than apply into the LCM equation.

GCF(88218,88230) = 6
LCM(88218,88230) = ( 88218 × 88230) / 6
LCM(88218,88230) = 7783474140 / 6
LCM(88218,88230) = 1297245690

Least Common Multiple (LCM) of 88218 and 88230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88218 and 88230. First we will calculate the prime factors of 88218 and 88230.

Prime Factorization of 88218

Prime Factorization of 88230

Now multiplying the highest exponent prime factors to calculate the LCM of 88218 and 88230.

LCM(88218,88230) = 2¹ × 3² × 13² × 29¹ × 5¹ × 17¹ × 173¹
LCM(88218,88230) = 1297245690