What is the Least Common Multiple of 71440 and 71459?

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 71440 and 71459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71440 and 71459, than apply into the LCM equation.

GCF(71440,71459) = 19
LCM(71440,71459) = ( 71440 × 71459) / 19
LCM(71440,71459) = 5105030960 / 19
LCM(71440,71459) = 268685840

Least Common Multiple (LCM) of 71440 and 71459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71440 and 71459. First we will calculate the prime factors of 71440 and 71459.

Prime Factorization of 71440

Prime Factorization of 71459

Now multiplying the highest exponent prime factors to calculate the LCM of 71440 and 71459.

LCM(71440,71459) = 2⁴ × 5¹ × 19¹ × 47¹ × 3761¹
LCM(71440,71459) = 268685840