What is the Least Common Multiple of 80742 and 80751?

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 80742 and 80751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80742 and 80751, than apply into the LCM equation.

GCF(80742,80751) = 3
LCM(80742,80751) = ( 80742 × 80751) / 3
LCM(80742,80751) = 6519997242 / 3
LCM(80742,80751) = 2173332414

Least Common Multiple (LCM) of 80742 and 80751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80742 and 80751. First we will calculate the prime factors of 80742 and 80751.

Prime Factorization of 80742

Prime Factorization of 80751

Now multiplying the highest exponent prime factors to calculate the LCM of 80742 and 80751.

LCM(80742,80751) = 2¹ × 3¹ × 13457¹ × 11¹ × 2447¹
LCM(80742,80751) = 2173332414