What is the Least Common Multiple of 88216 and 88221?

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 88216 and 88221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88216 and 88221, than apply into the LCM equation.

GCF(88216,88221) = 1
LCM(88216,88221) = ( 88216 × 88221) / 1
LCM(88216,88221) = 7782503736 / 1
LCM(88216,88221) = 7782503736

Least Common Multiple (LCM) of 88216 and 88221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88216 and 88221. First we will calculate the prime factors of 88216 and 88221.

Prime Factorization of 88216

Prime Factorization of 88221

Now multiplying the highest exponent prime factors to calculate the LCM of 88216 and 88221.

LCM(88216,88221) = 2³ × 11027¹ × 3¹ × 7¹ × 4201¹
LCM(88216,88221) = 7782503736