What is the Least Common Multiple of 64800 and 64817?

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 64800 and 64817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64800 and 64817, than apply into the LCM equation.

GCF(64800,64817) = 1
LCM(64800,64817) = ( 64800 × 64817) / 1
LCM(64800,64817) = 4200141600 / 1
LCM(64800,64817) = 4200141600

Least Common Multiple (LCM) of 64800 and 64817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64800 and 64817. First we will calculate the prime factors of 64800 and 64817.

Prime Factorization of 64800

Prime Factorization of 64817

Now multiplying the highest exponent prime factors to calculate the LCM of 64800 and 64817.

LCM(64800,64817) = 2⁵ × 3⁴ × 5² × 64817¹
LCM(64800,64817) = 4200141600