What is the Least Common Multiple of 16029 and 16043?

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 16029 and 16043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16029 and 16043, than apply into the LCM equation.

GCF(16029,16043) = 1
LCM(16029,16043) = ( 16029 × 16043) / 1
LCM(16029,16043) = 257153247 / 1
LCM(16029,16043) = 257153247

Least Common Multiple (LCM) of 16029 and 16043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16029 and 16043. First we will calculate the prime factors of 16029 and 16043.

Prime Factorization of 16029

Prime Factorization of 16043

Now multiplying the highest exponent prime factors to calculate the LCM of 16029 and 16043.

LCM(16029,16043) = 3² × 13¹ × 137¹ × 61¹ × 263¹
LCM(16029,16043) = 257153247