What is the Least Common Multiple of 64296 and 64306?

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 64306 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 64306, than apply into the LCM equation.

GCF(64296,64306) = 2
LCM(64296,64306) = ( 64296 × 64306) / 2
LCM(64296,64306) = 4134618576 / 2
LCM(64296,64306) = 2067309288

Least Common Multiple (LCM) of 64296 and 64306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64296 and 64306. First we will calculate the prime factors of 64296 and 64306.

Prime Factorization of 64296

Prime Factorization of 64306

Now multiplying the highest exponent prime factors to calculate the LCM of 64296 and 64306.

LCM(64296,64306) = 2³ × 3² × 19¹ × 47¹ × 11¹ × 37¹ × 79¹
LCM(64296,64306) = 2067309288