What is the Least Common Multiple of 67068 and 67083?

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 67068 and 67083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67068 and 67083, than apply into the LCM equation.

GCF(67068,67083) = 3
LCM(67068,67083) = ( 67068 × 67083) / 3
LCM(67068,67083) = 4499122644 / 3
LCM(67068,67083) = 1499707548

Least Common Multiple (LCM) of 67068 and 67083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67068 and 67083. First we will calculate the prime factors of 67068 and 67083.

Prime Factorization of 67068

Prime Factorization of 67083

Now multiplying the highest exponent prime factors to calculate the LCM of 67068 and 67083.

LCM(67068,67083) = 2² × 3⁶ × 23¹ × 59¹ × 379¹
LCM(67068,67083) = 1499707548