What is the Least Common Multiple of 65546 and 65566?

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 65546 and 65566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65546 and 65566, than apply into the LCM equation.

GCF(65546,65566) = 2
LCM(65546,65566) = ( 65546 × 65566) / 2
LCM(65546,65566) = 4297589036 / 2
LCM(65546,65566) = 2148794518

Least Common Multiple (LCM) of 65546 and 65566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65546 and 65566. First we will calculate the prime factors of 65546 and 65566.

Prime Factorization of 65546

Prime Factorization of 65566

Now multiplying the highest exponent prime factors to calculate the LCM of 65546 and 65566.

LCM(65546,65566) = 2¹ × 13¹ × 2521¹ × 32783¹
LCM(65546,65566) = 2148794518