What is the Least Common Multiple of 71385 and 71404?

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 71385 and 71404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71385 and 71404, than apply into the LCM equation.

GCF(71385,71404) = 1
LCM(71385,71404) = ( 71385 × 71404) / 1
LCM(71385,71404) = 5097174540 / 1
LCM(71385,71404) = 5097174540

Least Common Multiple (LCM) of 71385 and 71404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71385 and 71404. First we will calculate the prime factors of 71385 and 71404.

Prime Factorization of 71385

Prime Factorization of 71404

Now multiplying the highest exponent prime factors to calculate the LCM of 71385 and 71404.

LCM(71385,71404) = 3¹ × 5¹ × 4759¹ × 2² × 17851¹
LCM(71385,71404) = 5097174540