What is the Least Common Multiple of 9782 and 9792?

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 9782 and 9792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9782 and 9792, than apply into the LCM equation.

GCF(9782,9792) = 2
LCM(9782,9792) = ( 9782 × 9792) / 2
LCM(9782,9792) = 95785344 / 2
LCM(9782,9792) = 47892672

Least Common Multiple (LCM) of 9782 and 9792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9782 and 9792. First we will calculate the prime factors of 9782 and 9792.

Prime Factorization of 9782

Prime Factorization of 9792

Now multiplying the highest exponent prime factors to calculate the LCM of 9782 and 9792.

LCM(9782,9792) = 2⁶ × 67¹ × 73¹ × 3² × 17¹
LCM(9782,9792) = 47892672