What is the Least Common Multiple of 67083 and 67103?

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 67103 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 67103, than apply into the LCM equation.

GCF(67083,67103) = 1
LCM(67083,67103) = ( 67083 × 67103) / 1
LCM(67083,67103) = 4501470549 / 1
LCM(67083,67103) = 4501470549

Least Common Multiple (LCM) of 67083 and 67103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67083 and 67103. First we will calculate the prime factors of 67083 and 67103.

Prime Factorization of 67083

Prime Factorization of 67103

Now multiplying the highest exponent prime factors to calculate the LCM of 67083 and 67103.

LCM(67083,67103) = 3¹ × 59¹ × 379¹ × 67103¹
LCM(67083,67103) = 4501470549