What is the Least Common Multiple of 16563 and 16578?

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 16563 and 16578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16563 and 16578, than apply into the LCM equation.

GCF(16563,16578) = 3
LCM(16563,16578) = ( 16563 × 16578) / 3
LCM(16563,16578) = 274581414 / 3
LCM(16563,16578) = 91527138

Least Common Multiple (LCM) of 16563 and 16578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16563 and 16578. First we will calculate the prime factors of 16563 and 16578.

Prime Factorization of 16563

Prime Factorization of 16578

Now multiplying the highest exponent prime factors to calculate the LCM of 16563 and 16578.

LCM(16563,16578) = 3³ × 5521¹ × 2¹ × 307¹
LCM(16563,16578) = 91527138