What is the Least Common Multiple of 55742 and 55762?

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 55742 and 55762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55742 and 55762, than apply into the LCM equation.

GCF(55742,55762) = 2
LCM(55742,55762) = ( 55742 × 55762) / 2
LCM(55742,55762) = 3108285404 / 2
LCM(55742,55762) = 1554142702

Least Common Multiple (LCM) of 55742 and 55762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55742 and 55762. First we will calculate the prime factors of 55742 and 55762.

Prime Factorization of 55742

Prime Factorization of 55762

Now multiplying the highest exponent prime factors to calculate the LCM of 55742 and 55762.

LCM(55742,55762) = 2¹ × 47¹ × 593¹ × 7² × 569¹
LCM(55742,55762) = 1554142702