What is the Least Common Multiple of 16077 and 16083?

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 16077 and 16083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16077 and 16083, than apply into the LCM equation.

GCF(16077,16083) = 3
LCM(16077,16083) = ( 16077 × 16083) / 3
LCM(16077,16083) = 258566391 / 3
LCM(16077,16083) = 86188797

Least Common Multiple (LCM) of 16077 and 16083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16077 and 16083. First we will calculate the prime factors of 16077 and 16083.

Prime Factorization of 16077

Prime Factorization of 16083

Now multiplying the highest exponent prime factors to calculate the LCM of 16077 and 16083.

LCM(16077,16083) = 3² × 23¹ × 233¹ × 1787¹
LCM(16077,16083) = 86188797