What is the Least Common Multiple of 71742 and 71756?

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 71742 and 71756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71742 and 71756, than apply into the LCM equation.

GCF(71742,71756) = 2
LCM(71742,71756) = ( 71742 × 71756) / 2
LCM(71742,71756) = 5147918952 / 2
LCM(71742,71756) = 2573959476

Least Common Multiple (LCM) of 71742 and 71756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71742 and 71756. First we will calculate the prime factors of 71742 and 71756.

Prime Factorization of 71742

Prime Factorization of 71756

Now multiplying the highest exponent prime factors to calculate the LCM of 71742 and 71756.

LCM(71742,71756) = 2² × 3¹ × 11¹ × 1087¹ × 17939¹
LCM(71742,71756) = 2573959476