What is the Least Common Multiple of 16749 and 16769?

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 16749 and 16769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16749 and 16769, than apply into the LCM equation.

GCF(16749,16769) = 1
LCM(16749,16769) = ( 16749 × 16769) / 1
LCM(16749,16769) = 280863981 / 1
LCM(16749,16769) = 280863981

Least Common Multiple (LCM) of 16749 and 16769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16749 and 16769. First we will calculate the prime factors of 16749 and 16769.

Prime Factorization of 16749

Prime Factorization of 16769

Now multiplying the highest exponent prime factors to calculate the LCM of 16749 and 16769.

LCM(16749,16769) = 3² × 1861¹ × 41¹ × 409¹
LCM(16749,16769) = 280863981