What is the Least Common Multiple of 96444 and 96461?

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 96444 and 96461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96444 and 96461, than apply into the LCM equation.

GCF(96444,96461) = 1
LCM(96444,96461) = ( 96444 × 96461) / 1
LCM(96444,96461) = 9303084684 / 1
LCM(96444,96461) = 9303084684

Least Common Multiple (LCM) of 96444 and 96461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96444 and 96461. First we will calculate the prime factors of 96444 and 96461.

Prime Factorization of 96444

Prime Factorization of 96461

Now multiplying the highest exponent prime factors to calculate the LCM of 96444 and 96461.

LCM(96444,96461) = 2² × 3³ × 19¹ × 47¹ × 96461¹
LCM(96444,96461) = 9303084684