What is the Least Common Multiple of 10742 and 10762?

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 10742 and 10762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10742 and 10762, than apply into the LCM equation.

GCF(10742,10762) = 2
LCM(10742,10762) = ( 10742 × 10762) / 2
LCM(10742,10762) = 115605404 / 2
LCM(10742,10762) = 57802702

Least Common Multiple (LCM) of 10742 and 10762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10742 and 10762. First we will calculate the prime factors of 10742 and 10762.

Prime Factorization of 10742

Prime Factorization of 10762

Now multiplying the highest exponent prime factors to calculate the LCM of 10742 and 10762.

LCM(10742,10762) = 2¹ × 41¹ × 131¹ × 5381¹
LCM(10742,10762) = 57802702