What is the Least Common Multiple of 96276 and 96289?

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 96276 and 96289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96276 and 96289, than apply into the LCM equation.

GCF(96276,96289) = 1
LCM(96276,96289) = ( 96276 × 96289) / 1
LCM(96276,96289) = 9270319764 / 1
LCM(96276,96289) = 9270319764

Least Common Multiple (LCM) of 96276 and 96289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96276 and 96289. First we will calculate the prime factors of 96276 and 96289.

Prime Factorization of 96276

Prime Factorization of 96289

Now multiplying the highest exponent prime factors to calculate the LCM of 96276 and 96289.

LCM(96276,96289) = 2² × 3¹ × 71¹ × 113¹ × 96289¹
LCM(96276,96289) = 9270319764