What is the Least Common Multiple of 84083 and 84103?

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 84083 and 84103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84083 and 84103, than apply into the LCM equation.

GCF(84083,84103) = 1
LCM(84083,84103) = ( 84083 × 84103) / 1
LCM(84083,84103) = 7071632549 / 1
LCM(84083,84103) = 7071632549

Least Common Multiple (LCM) of 84083 and 84103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84083 and 84103. First we will calculate the prime factors of 84083 and 84103.

Prime Factorization of 84083

Prime Factorization of 84103

Now multiplying the highest exponent prime factors to calculate the LCM of 84083 and 84103.

LCM(84083,84103) = 47¹ × 1789¹ × 31¹ × 2713¹
LCM(84083,84103) = 7071632549