What is the Least Common Multiple of 80031 and 80049?

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 80031 and 80049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80031 and 80049, than apply into the LCM equation.

GCF(80031,80049) = 3
LCM(80031,80049) = ( 80031 × 80049) / 3
LCM(80031,80049) = 6406401519 / 3
LCM(80031,80049) = 2135467173

Least Common Multiple (LCM) of 80031 and 80049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80031 and 80049. First we will calculate the prime factors of 80031 and 80049.

Prime Factorization of 80031

Prime Factorization of 80049

Now multiplying the highest exponent prime factors to calculate the LCM of 80031 and 80049.

LCM(80031,80049) = 3¹ × 7¹ × 37¹ × 103¹ × 26683¹
LCM(80031,80049) = 2135467173