What is the Least Common Multiple of 80094 and 80103?

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 80094 and 80103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80094 and 80103, than apply into the LCM equation.

GCF(80094,80103) = 3
LCM(80094,80103) = ( 80094 × 80103) / 3
LCM(80094,80103) = 6415769682 / 3
LCM(80094,80103) = 2138589894

Least Common Multiple (LCM) of 80094 and 80103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80094 and 80103. First we will calculate the prime factors of 80094 and 80103.

Prime Factorization of 80094

Prime Factorization of 80103

Now multiplying the highest exponent prime factors to calculate the LCM of 80094 and 80103.

LCM(80094,80103) = 2¹ × 3¹ × 7¹ × 1907¹ × 26701¹
LCM(80094,80103) = 2138589894