What is the Least Common Multiple of 80013 and 80033?

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 80013 and 80033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80013 and 80033, than apply into the LCM equation.

GCF(80013,80033) = 1
LCM(80013,80033) = ( 80013 × 80033) / 1
LCM(80013,80033) = 6403680429 / 1
LCM(80013,80033) = 6403680429

Least Common Multiple (LCM) of 80013 and 80033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80013 and 80033. First we will calculate the prime factors of 80013 and 80033.

Prime Factorization of 80013

Prime Factorization of 80033

Now multiplying the highest exponent prime factors to calculate the LCM of 80013 and 80033.

LCM(80013,80033) = 3¹ × 149¹ × 179¹ × 163¹ × 491¹
LCM(80013,80033) = 6403680429