What is the Least Common Multiple of 16049 and 16067?

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 16049 and 16067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16049 and 16067, than apply into the LCM equation.

GCF(16049,16067) = 1
LCM(16049,16067) = ( 16049 × 16067) / 1
LCM(16049,16067) = 257859283 / 1
LCM(16049,16067) = 257859283

Least Common Multiple (LCM) of 16049 and 16067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16049 and 16067. First we will calculate the prime factors of 16049 and 16067.

Prime Factorization of 16049

Prime Factorization of 16067

Now multiplying the highest exponent prime factors to calculate the LCM of 16049 and 16067.

LCM(16049,16067) = 11¹ × 1459¹ × 16067¹
LCM(16049,16067) = 257859283