What is the Least Common Multiple of 64268 and 64279?

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 64279 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 64279, than apply into the LCM equation.

GCF(64268,64279) = 1
LCM(64268,64279) = ( 64268 × 64279) / 1
LCM(64268,64279) = 4131082772 / 1
LCM(64268,64279) = 4131082772

Least Common Multiple (LCM) of 64268 and 64279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64268 and 64279. First we will calculate the prime factors of 64268 and 64279.

Prime Factorization of 64268

Prime Factorization of 64279

Now multiplying the highest exponent prime factors to calculate the LCM of 64268 and 64279.

LCM(64268,64279) = 2² × 16067¹ × 64279¹
LCM(64268,64279) = 4131082772