What is the Least Common Multiple of 67800 and 67819?

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 67800 and 67819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67800 and 67819, than apply into the LCM equation.

GCF(67800,67819) = 1
LCM(67800,67819) = ( 67800 × 67819) / 1
LCM(67800,67819) = 4598128200 / 1
LCM(67800,67819) = 4598128200

Least Common Multiple (LCM) of 67800 and 67819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67800 and 67819. First we will calculate the prime factors of 67800 and 67819.

Prime Factorization of 67800

Prime Factorization of 67819

Now multiplying the highest exponent prime factors to calculate the LCM of 67800 and 67819.

LCM(67800,67819) = 2³ × 3¹ × 5² × 113¹ × 67819¹
LCM(67800,67819) = 4598128200