What is the Least Common Multiple of 71412 and 71428?

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 71428 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 71428, than apply into the LCM equation.

GCF(71412,71428) = 4
LCM(71412,71428) = ( 71412 × 71428) / 4
LCM(71412,71428) = 5100816336 / 4
LCM(71412,71428) = 1275204084

Least Common Multiple (LCM) of 71412 and 71428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71412 and 71428. First we will calculate the prime factors of 71412 and 71428.

Prime Factorization of 71412

Prime Factorization of 71428

Now multiplying the highest exponent prime factors to calculate the LCM of 71412 and 71428.

LCM(71412,71428) = 2² × 3¹ × 11¹ × 541¹ × 7¹ × 2551¹
LCM(71412,71428) = 1275204084