What is the Least Common Multiple of 16545 and 16550?

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 16545 and 16550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16545 and 16550, than apply into the LCM equation.

GCF(16545,16550) = 5
LCM(16545,16550) = ( 16545 × 16550) / 5
LCM(16545,16550) = 273819750 / 5
LCM(16545,16550) = 54763950

Least Common Multiple (LCM) of 16545 and 16550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16545 and 16550. First we will calculate the prime factors of 16545 and 16550.

Prime Factorization of 16545

Prime Factorization of 16550

Now multiplying the highest exponent prime factors to calculate the LCM of 16545 and 16550.

LCM(16545,16550) = 3¹ × 5² × 1103¹ × 2¹ × 331¹
LCM(16545,16550) = 54763950