What is the Least Common Multiple of 53742 and 53754?

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 53754 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 53754, than apply into the LCM equation.

GCF(53742,53754) = 6
LCM(53742,53754) = ( 53742 × 53754) / 6
LCM(53742,53754) = 2888847468 / 6
LCM(53742,53754) = 481474578

Least Common Multiple (LCM) of 53742 and 53754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53742 and 53754. First we will calculate the prime factors of 53742 and 53754.

Prime Factorization of 53742

Prime Factorization of 53754

Now multiplying the highest exponent prime factors to calculate the LCM of 53742 and 53754.

LCM(53742,53754) = 2¹ × 3¹ × 13² × 53¹ × 17² × 31¹
LCM(53742,53754) = 481474578