What is the Least Common Multiple of 71040 and 71049?

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 71040 and 71049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71040 and 71049, than apply into the LCM equation.

GCF(71040,71049) = 3
LCM(71040,71049) = ( 71040 × 71049) / 3
LCM(71040,71049) = 5047320960 / 3
LCM(71040,71049) = 1682440320

Least Common Multiple (LCM) of 71040 and 71049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71040 and 71049. First we will calculate the prime factors of 71040 and 71049.

Prime Factorization of 71040

Prime Factorization of 71049

Now multiplying the highest exponent prime factors to calculate the LCM of 71040 and 71049.

LCM(71040,71049) = 2⁷ × 3¹ × 5¹ × 37¹ × 11¹ × 2153¹
LCM(71040,71049) = 1682440320