What is the Least Common Multiple of 16755 and 16771?

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 16755 and 16771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16755 and 16771, than apply into the LCM equation.

GCF(16755,16771) = 1
LCM(16755,16771) = ( 16755 × 16771) / 1
LCM(16755,16771) = 280998105 / 1
LCM(16755,16771) = 280998105

Least Common Multiple (LCM) of 16755 and 16771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16755 and 16771. First we will calculate the prime factors of 16755 and 16771.

Prime Factorization of 16755

Prime Factorization of 16771

Now multiplying the highest exponent prime factors to calculate the LCM of 16755 and 16771.

LCM(16755,16771) = 3¹ × 5¹ × 1117¹ × 31¹ × 541¹
LCM(16755,16771) = 280998105