What is the Least Common Multiple of 64284 and 64299?

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 64284 and 64299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64284 and 64299, than apply into the LCM equation.

GCF(64284,64299) = 3
LCM(64284,64299) = ( 64284 × 64299) / 3
LCM(64284,64299) = 4133396916 / 3
LCM(64284,64299) = 1377798972

Least Common Multiple (LCM) of 64284 and 64299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64284 and 64299. First we will calculate the prime factors of 64284 and 64299.

Prime Factorization of 64284

Prime Factorization of 64299

Now multiplying the highest exponent prime factors to calculate the LCM of 64284 and 64299.

LCM(64284,64299) = 2² × 3¹ × 11¹ × 487¹ × 21433¹
LCM(64284,64299) = 1377798972