What is the Least Common Multiple of 64268 and 64278?

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 64268 and 64278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64268 and 64278, than apply into the LCM equation.

GCF(64268,64278) = 2
LCM(64268,64278) = ( 64268 × 64278) / 2
LCM(64268,64278) = 4131018504 / 2
LCM(64268,64278) = 2065509252

Least Common Multiple (LCM) of 64268 and 64278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64268 and 64278. First we will calculate the prime factors of 64268 and 64278.

Prime Factorization of 64268

Prime Factorization of 64278

Now multiplying the highest exponent prime factors to calculate the LCM of 64268 and 64278.

LCM(64268,64278) = 2² × 16067¹ × 3² × 3571¹
LCM(64268,64278) = 2065509252