What is the Least Common Multiple of 39928 and 39935?

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 39928 and 39935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39928 and 39935, than apply into the LCM equation.

GCF(39928,39935) = 7
LCM(39928,39935) = ( 39928 × 39935) / 7
LCM(39928,39935) = 1594524680 / 7
LCM(39928,39935) = 227789240

Least Common Multiple (LCM) of 39928 and 39935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39928 and 39935. First we will calculate the prime factors of 39928 and 39935.

Prime Factorization of 39928

Prime Factorization of 39935

Now multiplying the highest exponent prime factors to calculate the LCM of 39928 and 39935.

LCM(39928,39935) = 2³ × 7² × 23¹ × 31¹ × 5¹ × 163¹
LCM(39928,39935) = 227789240