What is the Least Common Multiple of 64296 and 64308?

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 64296 and 64308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64296 and 64308, than apply into the LCM equation.

GCF(64296,64308) = 12
LCM(64296,64308) = ( 64296 × 64308) / 12
LCM(64296,64308) = 4134747168 / 12
LCM(64296,64308) = 344562264

Least Common Multiple (LCM) of 64296 and 64308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64296 and 64308. First we will calculate the prime factors of 64296 and 64308.

Prime Factorization of 64296

Prime Factorization of 64308

Now multiplying the highest exponent prime factors to calculate the LCM of 64296 and 64308.

LCM(64296,64308) = 2³ × 3² × 19¹ × 47¹ × 23¹ × 233¹
LCM(64296,64308) = 344562264