What is the Least Common Multiple of 16750 and 16757?

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 16750 and 16757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16750 and 16757, than apply into the LCM equation.

GCF(16750,16757) = 1
LCM(16750,16757) = ( 16750 × 16757) / 1
LCM(16750,16757) = 280679750 / 1
LCM(16750,16757) = 280679750

Least Common Multiple (LCM) of 16750 and 16757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16750 and 16757. First we will calculate the prime factors of 16750 and 16757.

Prime Factorization of 16750

Prime Factorization of 16757

Now multiplying the highest exponent prime factors to calculate the LCM of 16750 and 16757.

LCM(16750,16757) = 2¹ × 5³ × 67¹ × 13¹ × 1289¹
LCM(16750,16757) = 280679750