What is the Least Common Multiple of 96782 and 96787?

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 96782 and 96787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96782 and 96787, than apply into the LCM equation.

GCF(96782,96787) = 1
LCM(96782,96787) = ( 96782 × 96787) / 1
LCM(96782,96787) = 9367239434 / 1
LCM(96782,96787) = 9367239434

Least Common Multiple (LCM) of 96782 and 96787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96782 and 96787. First we will calculate the prime factors of 96782 and 96787.

Prime Factorization of 96782

Prime Factorization of 96787

Now multiplying the highest exponent prime factors to calculate the LCM of 96782 and 96787.

LCM(96782,96787) = 2¹ × 7¹ × 31¹ × 223¹ × 96787¹
LCM(96782,96787) = 9367239434