What is the Least Common Multiple of 64804 and 64819?

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 64804 and 64819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64804 and 64819, than apply into the LCM equation.

GCF(64804,64819) = 1
LCM(64804,64819) = ( 64804 × 64819) / 1
LCM(64804,64819) = 4200530476 / 1
LCM(64804,64819) = 4200530476

Least Common Multiple (LCM) of 64804 and 64819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64804 and 64819. First we will calculate the prime factors of 64804 and 64819.

Prime Factorization of 64804

Prime Factorization of 64819

Now multiplying the highest exponent prime factors to calculate the LCM of 64804 and 64819.

LCM(64804,64819) = 2² × 17¹ × 953¹ × 53¹ × 1223¹
LCM(64804,64819) = 4200530476