What is the Least Common Multiple of 38009 and 38013?

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 38009 and 38013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38009 and 38013, than apply into the LCM equation.

GCF(38009,38013) = 1
LCM(38009,38013) = ( 38009 × 38013) / 1
LCM(38009,38013) = 1444836117 / 1
LCM(38009,38013) = 1444836117

Least Common Multiple (LCM) of 38009 and 38013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38009 and 38013. First we will calculate the prime factors of 38009 and 38013.

Prime Factorization of 38009

Prime Factorization of 38013

Now multiplying the highest exponent prime factors to calculate the LCM of 38009 and 38013.

LCM(38009,38013) = 191¹ × 199¹ × 3¹ × 12671¹
LCM(38009,38013) = 1444836117