What is the Least Common Multiple of 9486 and 9492?

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 9486 and 9492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9486 and 9492, than apply into the LCM equation.

GCF(9486,9492) = 6
LCM(9486,9492) = ( 9486 × 9492) / 6
LCM(9486,9492) = 90041112 / 6
LCM(9486,9492) = 15006852

Least Common Multiple (LCM) of 9486 and 9492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9486 and 9492. First we will calculate the prime factors of 9486 and 9492.

Prime Factorization of 9486

Prime Factorization of 9492

Now multiplying the highest exponent prime factors to calculate the LCM of 9486 and 9492.

LCM(9486,9492) = 2² × 3² × 17¹ × 31¹ × 7¹ × 113¹
LCM(9486,9492) = 15006852