What is the Least Common Multiple of 10032 and 10047?

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 10032 and 10047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10032 and 10047, than apply into the LCM equation.

GCF(10032,10047) = 3
LCM(10032,10047) = ( 10032 × 10047) / 3
LCM(10032,10047) = 100791504 / 3
LCM(10032,10047) = 33597168

Least Common Multiple (LCM) of 10032 and 10047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10032 and 10047. First we will calculate the prime factors of 10032 and 10047.

Prime Factorization of 10032

Prime Factorization of 10047

Now multiplying the highest exponent prime factors to calculate the LCM of 10032 and 10047.

LCM(10032,10047) = 2⁴ × 3¹ × 11¹ × 19¹ × 17¹ × 197¹
LCM(10032,10047) = 33597168