What is the Least Common Multiple of 65536 and 65549?

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 65536 and 65549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65536 and 65549, than apply into the LCM equation.

GCF(65536,65549) = 1
LCM(65536,65549) = ( 65536 × 65549) / 1
LCM(65536,65549) = 4295819264 / 1
LCM(65536,65549) = 4295819264

Least Common Multiple (LCM) of 65536 and 65549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65536 and 65549. First we will calculate the prime factors of 65536 and 65549.

Prime Factorization of 65536

Prime Factorization of 65549

Now multiplying the highest exponent prime factors to calculate the LCM of 65536 and 65549.

LCM(65536,65549) = 2¹⁶ × 11¹ × 59¹ × 101¹
LCM(65536,65549) = 4295819264