What is the Least Common Multiple of 16562 and 16576?

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 16562 and 16576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16562 and 16576, than apply into the LCM equation.

GCF(16562,16576) = 14
LCM(16562,16576) = ( 16562 × 16576) / 14
LCM(16562,16576) = 274531712 / 14
LCM(16562,16576) = 19609408

Least Common Multiple (LCM) of 16562 and 16576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16562 and 16576. First we will calculate the prime factors of 16562 and 16576.

Prime Factorization of 16562

Prime Factorization of 16576

Now multiplying the highest exponent prime factors to calculate the LCM of 16562 and 16576.

LCM(16562,16576) = 2⁶ × 7² × 13² × 37¹
LCM(16562,16576) = 19609408