What is the Least Common Multiple of 67083 and 67095?

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 67083 and 67095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67083 and 67095, than apply into the LCM equation.

GCF(67083,67095) = 3
LCM(67083,67095) = ( 67083 × 67095) / 3
LCM(67083,67095) = 4500933885 / 3
LCM(67083,67095) = 1500311295

Least Common Multiple (LCM) of 67083 and 67095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67083 and 67095. First we will calculate the prime factors of 67083 and 67095.

Prime Factorization of 67083

Prime Factorization of 67095

Now multiplying the highest exponent prime factors to calculate the LCM of 67083 and 67095.

LCM(67083,67095) = 3³ × 59¹ × 379¹ × 5¹ × 7¹ × 71¹
LCM(67083,67095) = 1500311295