What is the Least Common Multiple of 80103 and 80121?

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 80103 and 80121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80103 and 80121, than apply into the LCM equation.

GCF(80103,80121) = 3
LCM(80103,80121) = ( 80103 × 80121) / 3
LCM(80103,80121) = 6417932463 / 3
LCM(80103,80121) = 2139310821

Least Common Multiple (LCM) of 80103 and 80121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80103 and 80121. First we will calculate the prime factors of 80103 and 80121.

Prime Factorization of 80103

Prime Factorization of 80121

Now multiplying the highest exponent prime factors to calculate the LCM of 80103 and 80121.

LCM(80103,80121) = 3¹ × 26701¹ × 17¹ × 1571¹
LCM(80103,80121) = 2139310821