What is the Least Common Multiple of 40288 and 40308?

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 40288 and 40308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40288 and 40308, than apply into the LCM equation.

GCF(40288,40308) = 4
LCM(40288,40308) = ( 40288 × 40308) / 4
LCM(40288,40308) = 1623928704 / 4
LCM(40288,40308) = 405982176

Least Common Multiple (LCM) of 40288 and 40308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40288 and 40308. First we will calculate the prime factors of 40288 and 40308.

Prime Factorization of 40288

Prime Factorization of 40308

Now multiplying the highest exponent prime factors to calculate the LCM of 40288 and 40308.

LCM(40288,40308) = 2⁵ × 1259¹ × 3¹ × 3359¹
LCM(40288,40308) = 405982176