What is the Least Common Multiple of 53742 and 53756?

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 53742 and 53756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53742 and 53756, than apply into the LCM equation.

GCF(53742,53756) = 2
LCM(53742,53756) = ( 53742 × 53756) / 2
LCM(53742,53756) = 2888954952 / 2
LCM(53742,53756) = 1444477476

Least Common Multiple (LCM) of 53742 and 53756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53742 and 53756. First we will calculate the prime factors of 53742 and 53756.

Prime Factorization of 53742

Prime Factorization of 53756

Now multiplying the highest exponent prime factors to calculate the LCM of 53742 and 53756.

LCM(53742,53756) = 2² × 3¹ × 13² × 53¹ × 89¹ × 151¹
LCM(53742,53756) = 1444477476