What is the Least Common Multiple of 38016 and 38027?

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 38016 and 38027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38016 and 38027, than apply into the LCM equation.

GCF(38016,38027) = 11
LCM(38016,38027) = ( 38016 × 38027) / 11
LCM(38016,38027) = 1445634432 / 11
LCM(38016,38027) = 131421312

Least Common Multiple (LCM) of 38016 and 38027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38016 and 38027. First we will calculate the prime factors of 38016 and 38027.

Prime Factorization of 38016

Prime Factorization of 38027

Now multiplying the highest exponent prime factors to calculate the LCM of 38016 and 38027.

LCM(38016,38027) = 2⁷ × 3³ × 11¹ × 3457¹
LCM(38016,38027) = 131421312