What is the Least Common Multiple of 10038 and 10056?

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 10056 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 10056, than apply into the LCM equation.

GCF(10038,10056) = 6
LCM(10038,10056) = ( 10038 × 10056) / 6
LCM(10038,10056) = 100942128 / 6
LCM(10038,10056) = 16823688

Least Common Multiple (LCM) of 10038 and 10056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10038 and 10056. First we will calculate the prime factors of 10038 and 10056.

Prime Factorization of 10038

Prime Factorization of 10056

Now multiplying the highest exponent prime factors to calculate the LCM of 10038 and 10056.

LCM(10038,10056) = 2³ × 3¹ × 7¹ × 239¹ × 419¹
LCM(10038,10056) = 16823688