What is the Least Common Multiple of 88236 and 88255?

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 88236 and 88255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88236 and 88255, than apply into the LCM equation.

GCF(88236,88255) = 19
LCM(88236,88255) = ( 88236 × 88255) / 19
LCM(88236,88255) = 7787268180 / 19
LCM(88236,88255) = 409856220

Least Common Multiple (LCM) of 88236 and 88255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88236 and 88255. First we will calculate the prime factors of 88236 and 88255.

Prime Factorization of 88236

Prime Factorization of 88255

Now multiplying the highest exponent prime factors to calculate the LCM of 88236 and 88255.

LCM(88236,88255) = 2² × 3³ × 19¹ × 43¹ × 5¹ × 929¹
LCM(88236,88255) = 409856220