What is the Least Common Multiple of 65296 and 65304?

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 65296 and 65304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65296 and 65304, than apply into the LCM equation.

GCF(65296,65304) = 8
LCM(65296,65304) = ( 65296 × 65304) / 8
LCM(65296,65304) = 4264089984 / 8
LCM(65296,65304) = 533011248

Least Common Multiple (LCM) of 65296 and 65304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65296 and 65304. First we will calculate the prime factors of 65296 and 65304.

Prime Factorization of 65296

Prime Factorization of 65304

Now multiplying the highest exponent prime factors to calculate the LCM of 65296 and 65304.

LCM(65296,65304) = 2⁴ × 7¹ × 11¹ × 53¹ × 3² × 907¹
LCM(65296,65304) = 533011248