What is the Least Common Multiple of 71404 and 71409?

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 71404 and 71409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71404 and 71409, than apply into the LCM equation.

GCF(71404,71409) = 1
LCM(71404,71409) = ( 71404 × 71409) / 1
LCM(71404,71409) = 5098888236 / 1
LCM(71404,71409) = 5098888236

Least Common Multiple (LCM) of 71404 and 71409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71404 and 71409. First we will calculate the prime factors of 71404 and 71409.

Prime Factorization of 71404

Prime Factorization of 71409

Now multiplying the highest exponent prime factors to calculate the LCM of 71404 and 71409.

LCM(71404,71409) = 2² × 17851¹ × 3¹ × 13¹ × 1831¹
LCM(71404,71409) = 5098888236