What is the Least Common Multiple of 16938 and 16944?

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 16938 and 16944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16938 and 16944, than apply into the LCM equation.

GCF(16938,16944) = 6
LCM(16938,16944) = ( 16938 × 16944) / 6
LCM(16938,16944) = 286997472 / 6
LCM(16938,16944) = 47832912

Least Common Multiple (LCM) of 16938 and 16944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16938 and 16944. First we will calculate the prime factors of 16938 and 16944.

Prime Factorization of 16938

Prime Factorization of 16944

Now multiplying the highest exponent prime factors to calculate the LCM of 16938 and 16944.

LCM(16938,16944) = 2⁴ × 3² × 941¹ × 353¹
LCM(16938,16944) = 47832912