What is the Least Common Multiple of 9768 and 9782?

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 9768 and 9782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9768 and 9782, than apply into the LCM equation.

GCF(9768,9782) = 2
LCM(9768,9782) = ( 9768 × 9782) / 2
LCM(9768,9782) = 95550576 / 2
LCM(9768,9782) = 47775288

Least Common Multiple (LCM) of 9768 and 9782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9768 and 9782. First we will calculate the prime factors of 9768 and 9782.

Prime Factorization of 9768

Prime Factorization of 9782

Now multiplying the highest exponent prime factors to calculate the LCM of 9768 and 9782.

LCM(9768,9782) = 2³ × 3¹ × 11¹ × 37¹ × 67¹ × 73¹
LCM(9768,9782) = 47775288