What is the Least Common Multiple of 16074 and 16078?

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 16074 and 16078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16074 and 16078, than apply into the LCM equation.

GCF(16074,16078) = 2
LCM(16074,16078) = ( 16074 × 16078) / 2
LCM(16074,16078) = 258437772 / 2
LCM(16074,16078) = 129218886

Least Common Multiple (LCM) of 16074 and 16078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16074 and 16078. First we will calculate the prime factors of 16074 and 16078.

Prime Factorization of 16074

Prime Factorization of 16078

Now multiplying the highest exponent prime factors to calculate the LCM of 16074 and 16078.

LCM(16074,16078) = 2¹ × 3² × 19¹ × 47¹ × 8039¹
LCM(16074,16078) = 129218886