What is the Least Common Multiple of 64116 and 64129?

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 64116 and 64129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64116 and 64129, than apply into the LCM equation.

GCF(64116,64129) = 13
LCM(64116,64129) = ( 64116 × 64129) / 13
LCM(64116,64129) = 4111694964 / 13
LCM(64116,64129) = 316284228

Least Common Multiple (LCM) of 64116 and 64129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64116 and 64129. First we will calculate the prime factors of 64116 and 64129.

Prime Factorization of 64116

Prime Factorization of 64129

Now multiplying the highest exponent prime factors to calculate the LCM of 64116 and 64129.

LCM(64116,64129) = 2² × 3² × 13¹ × 137¹ × 4933¹
LCM(64116,64129) = 316284228