What is the Least Common Multiple of 10038 and 10053?

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 10038 and 10053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10038 and 10053, than apply into the LCM equation.

GCF(10038,10053) = 3
LCM(10038,10053) = ( 10038 × 10053) / 3
LCM(10038,10053) = 100912014 / 3
LCM(10038,10053) = 33637338

Least Common Multiple (LCM) of 10038 and 10053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10038 and 10053. First we will calculate the prime factors of 10038 and 10053.

Prime Factorization of 10038

Prime Factorization of 10053

Now multiplying the highest exponent prime factors to calculate the LCM of 10038 and 10053.

LCM(10038,10053) = 2¹ × 3² × 7¹ × 239¹ × 1117¹
LCM(10038,10053) = 33637338