What is the Least Common Multiple of 96764 and 96782?

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 96764 and 96782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96764 and 96782, than apply into the LCM equation.

GCF(96764,96782) = 2
LCM(96764,96782) = ( 96764 × 96782) / 2
LCM(96764,96782) = 9365013448 / 2
LCM(96764,96782) = 4682506724

Least Common Multiple (LCM) of 96764 and 96782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96764 and 96782. First we will calculate the prime factors of 96764 and 96782.

Prime Factorization of 96764

Prime Factorization of 96782

Now multiplying the highest exponent prime factors to calculate the LCM of 96764 and 96782.

LCM(96764,96782) = 2² × 17¹ × 1423¹ × 7¹ × 31¹ × 223¹
LCM(96764,96782) = 4682506724