What is the Least Common Multiple of 96756 and 96769?

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 96756 and 96769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96756 and 96769, than apply into the LCM equation.

GCF(96756,96769) = 1
LCM(96756,96769) = ( 96756 × 96769) / 1
LCM(96756,96769) = 9362981364 / 1
LCM(96756,96769) = 9362981364

Least Common Multiple (LCM) of 96756 and 96769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96756 and 96769. First we will calculate the prime factors of 96756 and 96769.

Prime Factorization of 96756

Prime Factorization of 96769

Now multiplying the highest exponent prime factors to calculate the LCM of 96756 and 96769.

LCM(96756,96769) = 2² × 3¹ × 11¹ × 733¹ × 96769¹
LCM(96756,96769) = 9362981364