What is the Least Common Multiple of 38096 and 38106?

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 38096 and 38106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38096 and 38106, than apply into the LCM equation.

GCF(38096,38106) = 2
LCM(38096,38106) = ( 38096 × 38106) / 2
LCM(38096,38106) = 1451686176 / 2
LCM(38096,38106) = 725843088

Least Common Multiple (LCM) of 38096 and 38106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38096 and 38106. First we will calculate the prime factors of 38096 and 38106.

Prime Factorization of 38096

Prime Factorization of 38106

Now multiplying the highest exponent prime factors to calculate the LCM of 38096 and 38106.

LCM(38096,38106) = 2⁴ × 2381¹ × 3² × 29¹ × 73¹
LCM(38096,38106) = 725843088