What is the Least Common Multiple of 71412 and 71424?

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 71412 and 71424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71412 and 71424, than apply into the LCM equation.

GCF(71412,71424) = 12
LCM(71412,71424) = ( 71412 × 71424) / 12
LCM(71412,71424) = 5100530688 / 12
LCM(71412,71424) = 425044224

Least Common Multiple (LCM) of 71412 and 71424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71412 and 71424. First we will calculate the prime factors of 71412 and 71424.

Prime Factorization of 71412

Prime Factorization of 71424

Now multiplying the highest exponent prime factors to calculate the LCM of 71412 and 71424.

LCM(71412,71424) = 2⁸ × 3² × 11¹ × 541¹ × 31¹
LCM(71412,71424) = 425044224