What is the Least Common Multiple of 64306 and 64312?

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 64306 and 64312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64306 and 64312, than apply into the LCM equation.

GCF(64306,64312) = 2
LCM(64306,64312) = ( 64306 × 64312) / 2
LCM(64306,64312) = 4135647472 / 2
LCM(64306,64312) = 2067823736

Least Common Multiple (LCM) of 64306 and 64312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64306 and 64312. First we will calculate the prime factors of 64306 and 64312.

Prime Factorization of 64306

Prime Factorization of 64312

Now multiplying the highest exponent prime factors to calculate the LCM of 64306 and 64312.

LCM(64306,64312) = 2³ × 11¹ × 37¹ × 79¹ × 8039¹
LCM(64306,64312) = 2067823736