What is the Least Common Multiple of 8084 and 8103?

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 8084 and 8103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8084 and 8103, than apply into the LCM equation.

GCF(8084,8103) = 1
LCM(8084,8103) = ( 8084 × 8103) / 1
LCM(8084,8103) = 65504652 / 1
LCM(8084,8103) = 65504652

Least Common Multiple (LCM) of 8084 and 8103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8103. First we will calculate the prime factors of 8084 and 8103.

Prime Factorization of 8084

Prime Factorization of 8103

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8103.

LCM(8084,8103) = 2² × 43¹ × 47¹ × 3¹ × 37¹ × 73¹
LCM(8084,8103) = 65504652