What is the Least Common Multiple of 16762 and 16779?

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 16762 and 16779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16762 and 16779, than apply into the LCM equation.

GCF(16762,16779) = 17
LCM(16762,16779) = ( 16762 × 16779) / 17
LCM(16762,16779) = 281249598 / 17
LCM(16762,16779) = 16544094

Least Common Multiple (LCM) of 16762 and 16779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16762 and 16779. First we will calculate the prime factors of 16762 and 16779.

Prime Factorization of 16762

Prime Factorization of 16779

Now multiplying the highest exponent prime factors to calculate the LCM of 16762 and 16779.

LCM(16762,16779) = 2¹ × 17² × 29¹ × 3¹ × 7¹ × 47¹
LCM(16762,16779) = 16544094