What is the Least Common Multiple of 9742 and 9762?

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 9742 and 9762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9742 and 9762, than apply into the LCM equation.

GCF(9742,9762) = 2
LCM(9742,9762) = ( 9742 × 9762) / 2
LCM(9742,9762) = 95101404 / 2
LCM(9742,9762) = 47550702

Least Common Multiple (LCM) of 9742 and 9762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9762. First we will calculate the prime factors of 9742 and 9762.

Prime Factorization of 9742

Prime Factorization of 9762

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9762.

LCM(9742,9762) = 2¹ × 4871¹ × 3¹ × 1627¹
LCM(9742,9762) = 47550702