What is the Least Common Multiple of 88202 and 88215?

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 88202 and 88215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88202 and 88215, than apply into the LCM equation.

GCF(88202,88215) = 1
LCM(88202,88215) = ( 88202 × 88215) / 1
LCM(88202,88215) = 7780739430 / 1
LCM(88202,88215) = 7780739430

Least Common Multiple (LCM) of 88202 and 88215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88202 and 88215. First we will calculate the prime factors of 88202 and 88215.

Prime Factorization of 88202

Prime Factorization of 88215

Now multiplying the highest exponent prime factors to calculate the LCM of 88202 and 88215.

LCM(88202,88215) = 2¹ × 44101¹ × 3¹ × 5¹ × 5881¹
LCM(88202,88215) = 7780739430