What is the Least Common Multiple of 64800 and 64813?

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 64813 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 64813, than apply into the LCM equation.

GCF(64800,64813) = 1
LCM(64800,64813) = ( 64800 × 64813) / 1
LCM(64800,64813) = 4199882400 / 1
LCM(64800,64813) = 4199882400

Least Common Multiple (LCM) of 64800 and 64813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64800 and 64813. First we will calculate the prime factors of 64800 and 64813.

Prime Factorization of 64800

Prime Factorization of 64813

Now multiplying the highest exponent prime factors to calculate the LCM of 64800 and 64813.

LCM(64800,64813) = 2⁵ × 3⁴ × 5² × 7¹ × 47¹ × 197¹
LCM(64800,64813) = 4199882400