What is the Least Common Multiple of 65296 and 65300?

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 65300 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 65300, than apply into the LCM equation.

GCF(65296,65300) = 4
LCM(65296,65300) = ( 65296 × 65300) / 4
LCM(65296,65300) = 4263828800 / 4
LCM(65296,65300) = 1065957200

Least Common Multiple (LCM) of 65296 and 65300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65296 and 65300. First we will calculate the prime factors of 65296 and 65300.

Prime Factorization of 65296

Prime Factorization of 65300

Now multiplying the highest exponent prime factors to calculate the LCM of 65296 and 65300.

LCM(65296,65300) = 2⁴ × 7¹ × 11¹ × 53¹ × 5² × 653¹
LCM(65296,65300) = 1065957200