What is the Least Common Multiple of 64068 and 64076?

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 64068 and 64076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64068 and 64076, than apply into the LCM equation.

GCF(64068,64076) = 4
LCM(64068,64076) = ( 64068 × 64076) / 4
LCM(64068,64076) = 4105221168 / 4
LCM(64068,64076) = 1026305292

Least Common Multiple (LCM) of 64068 and 64076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64068 and 64076. First we will calculate the prime factors of 64068 and 64076.

Prime Factorization of 64068

Prime Factorization of 64076

Now multiplying the highest exponent prime factors to calculate the LCM of 64068 and 64076.

LCM(64068,64076) = 2² × 3¹ × 19¹ × 281¹ × 83¹ × 193¹
LCM(64068,64076) = 1026305292