What is the Least Common Multiple of 38016 and 38026?

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 38026 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 38026, than apply into the LCM equation.

GCF(38016,38026) = 2
LCM(38016,38026) = ( 38016 × 38026) / 2
LCM(38016,38026) = 1445596416 / 2
LCM(38016,38026) = 722798208

Least Common Multiple (LCM) of 38016 and 38026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38016 and 38026. First we will calculate the prime factors of 38016 and 38026.

Prime Factorization of 38016

Prime Factorization of 38026

Now multiplying the highest exponent prime factors to calculate the LCM of 38016 and 38026.

LCM(38016,38026) = 2⁷ × 3³ × 11¹ × 19013¹
LCM(38016,38026) = 722798208