What is the Least Common Multiple of 16548 and 16567?

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 16548 and 16567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16548 and 16567, than apply into the LCM equation.

GCF(16548,16567) = 1
LCM(16548,16567) = ( 16548 × 16567) / 1
LCM(16548,16567) = 274150716 / 1
LCM(16548,16567) = 274150716

Least Common Multiple (LCM) of 16548 and 16567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16548 and 16567. First we will calculate the prime factors of 16548 and 16567.

Prime Factorization of 16548

Prime Factorization of 16567

Now multiplying the highest exponent prime factors to calculate the LCM of 16548 and 16567.

LCM(16548,16567) = 2² × 3¹ × 7¹ × 197¹ × 16567¹
LCM(16548,16567) = 274150716