What is the Least Common Multiple of 16772 and 16786?

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 16772 and 16786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16772 and 16786, than apply into the LCM equation.

GCF(16772,16786) = 14
LCM(16772,16786) = ( 16772 × 16786) / 14
LCM(16772,16786) = 281534792 / 14
LCM(16772,16786) = 20109628

Least Common Multiple (LCM) of 16772 and 16786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16772 and 16786. First we will calculate the prime factors of 16772 and 16786.

Prime Factorization of 16772

Prime Factorization of 16786

Now multiplying the highest exponent prime factors to calculate the LCM of 16772 and 16786.

LCM(16772,16786) = 2² × 7¹ × 599¹ × 11¹ × 109¹
LCM(16772,16786) = 20109628