What is the Least Common Multiple of 9738 and 9742?

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 9738 and 9742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9738 and 9742, than apply into the LCM equation.

GCF(9738,9742) = 2
LCM(9738,9742) = ( 9738 × 9742) / 2
LCM(9738,9742) = 94867596 / 2
LCM(9738,9742) = 47433798

Least Common Multiple (LCM) of 9738 and 9742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9738 and 9742. First we will calculate the prime factors of 9738 and 9742.

Prime Factorization of 9738

Prime Factorization of 9742

Now multiplying the highest exponent prime factors to calculate the LCM of 9738 and 9742.

LCM(9738,9742) = 2¹ × 3² × 541¹ × 4871¹
LCM(9738,9742) = 47433798