What is the Least Common Multiple of 96829 and 96849?

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 96829 and 96849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96829 and 96849, than apply into the LCM equation.

GCF(96829,96849) = 1
LCM(96829,96849) = ( 96829 × 96849) / 1
LCM(96829,96849) = 9377791821 / 1
LCM(96829,96849) = 9377791821

Least Common Multiple (LCM) of 96829 and 96849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96829 and 96849. First we will calculate the prime factors of 96829 and 96849.

Prime Factorization of 96829

Prime Factorization of 96849

Now multiplying the highest exponent prime factors to calculate the LCM of 96829 and 96849.

LCM(96829,96849) = 37¹ × 2617¹ × 3³ × 17¹ × 211¹
LCM(96829,96849) = 9377791821