What is the Least Common Multiple of 65296 and 65310?

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 65310 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 65310, than apply into the LCM equation.

GCF(65296,65310) = 14
LCM(65296,65310) = ( 65296 × 65310) / 14
LCM(65296,65310) = 4264481760 / 14
LCM(65296,65310) = 304605840

Least Common Multiple (LCM) of 65296 and 65310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65296 and 65310. First we will calculate the prime factors of 65296 and 65310.

Prime Factorization of 65296

Prime Factorization of 65310

Now multiplying the highest exponent prime factors to calculate the LCM of 65296 and 65310.

LCM(65296,65310) = 2⁴ × 7¹ × 11¹ × 53¹ × 3¹ × 5¹ × 311¹
LCM(65296,65310) = 304605840