What is the Least Common Multiple of 65664 and 65684?

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 65664 and 65684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65664 and 65684, than apply into the LCM equation.

GCF(65664,65684) = 4
LCM(65664,65684) = ( 65664 × 65684) / 4
LCM(65664,65684) = 4313074176 / 4
LCM(65664,65684) = 1078268544

Least Common Multiple (LCM) of 65664 and 65684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65664 and 65684. First we will calculate the prime factors of 65664 and 65684.

Prime Factorization of 65664

Prime Factorization of 65684

Now multiplying the highest exponent prime factors to calculate the LCM of 65664 and 65684.

LCM(65664,65684) = 2⁷ × 3³ × 19¹ × 16421¹
LCM(65664,65684) = 1078268544