What is the Least Common Multiple of 83083 and 83103?

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 83083 and 83103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83083 and 83103, than apply into the LCM equation.

GCF(83083,83103) = 1
LCM(83083,83103) = ( 83083 × 83103) / 1
LCM(83083,83103) = 6904446549 / 1
LCM(83083,83103) = 6904446549

Least Common Multiple (LCM) of 83083 and 83103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83083 and 83103. First we will calculate the prime factors of 83083 and 83103.

Prime Factorization of 83083

Prime Factorization of 83103

Now multiplying the highest exponent prime factors to calculate the LCM of 83083 and 83103.

LCM(83083,83103) = 7¹ × 11¹ × 13¹ × 83¹ × 3¹ × 27701¹
LCM(83083,83103) = 6904446549