What is the Least Common Multiple of 16749 and 16766?

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 16766 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 16766, than apply into the LCM equation.

GCF(16749,16766) = 1
LCM(16749,16766) = ( 16749 × 16766) / 1
LCM(16749,16766) = 280813734 / 1
LCM(16749,16766) = 280813734

Least Common Multiple (LCM) of 16749 and 16766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16749 and 16766. First we will calculate the prime factors of 16749 and 16766.

Prime Factorization of 16749

Prime Factorization of 16766

Now multiplying the highest exponent prime factors to calculate the LCM of 16749 and 16766.

LCM(16749,16766) = 3² × 1861¹ × 2¹ × 83¹ × 101¹
LCM(16749,16766) = 280813734