What is the Least Common Multiple of 16760 and 16777?

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 16760 and 16777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16760 and 16777, than apply into the LCM equation.

GCF(16760,16777) = 1
LCM(16760,16777) = ( 16760 × 16777) / 1
LCM(16760,16777) = 281182520 / 1
LCM(16760,16777) = 281182520

Least Common Multiple (LCM) of 16760 and 16777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16760 and 16777. First we will calculate the prime factors of 16760 and 16777.

Prime Factorization of 16760

Prime Factorization of 16777

Now multiplying the highest exponent prime factors to calculate the LCM of 16760 and 16777.

LCM(16760,16777) = 2³ × 5¹ × 419¹ × 19¹ × 883¹
LCM(16760,16777) = 281182520