What is the Least Common Multiple of 71424 and 71432?

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 71424 and 71432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71424 and 71432, than apply into the LCM equation.

GCF(71424,71432) = 8
LCM(71424,71432) = ( 71424 × 71432) / 8
LCM(71424,71432) = 5101959168 / 8
LCM(71424,71432) = 637744896

Least Common Multiple (LCM) of 71424 and 71432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71424 and 71432. First we will calculate the prime factors of 71424 and 71432.

Prime Factorization of 71424

Prime Factorization of 71432

Now multiplying the highest exponent prime factors to calculate the LCM of 71424 and 71432.

LCM(71424,71432) = 2⁸ × 3² × 31¹ × 8929¹
LCM(71424,71432) = 637744896