What is the Least Common Multiple of 65364 and 65368?

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 65364 and 65368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65364 and 65368, than apply into the LCM equation.

GCF(65364,65368) = 4
LCM(65364,65368) = ( 65364 × 65368) / 4
LCM(65364,65368) = 4272713952 / 4
LCM(65364,65368) = 1068178488

Least Common Multiple (LCM) of 65364 and 65368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65368. First we will calculate the prime factors of 65364 and 65368.

Prime Factorization of 65364

Prime Factorization of 65368

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65368.

LCM(65364,65368) = 2³ × 3¹ × 13¹ × 419¹ × 8171¹
LCM(65364,65368) = 1068178488