What is the Least Common Multiple of 16548 and 16561?

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 16561 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 16561, than apply into the LCM equation.

GCF(16548,16561) = 1
LCM(16548,16561) = ( 16548 × 16561) / 1
LCM(16548,16561) = 274051428 / 1
LCM(16548,16561) = 274051428

Least Common Multiple (LCM) of 16548 and 16561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16548 and 16561. First we will calculate the prime factors of 16548 and 16561.

Prime Factorization of 16548

Prime Factorization of 16561

Now multiplying the highest exponent prime factors to calculate the LCM of 16548 and 16561.

LCM(16548,16561) = 2² × 3¹ × 7¹ × 197¹ × 16561¹
LCM(16548,16561) = 274051428