What is the Least Common Multiple of 96849 and 96866?

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 96849 and 96866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96849 and 96866, than apply into the LCM equation.

GCF(96849,96866) = 17
LCM(96849,96866) = ( 96849 × 96866) / 17
LCM(96849,96866) = 9381375234 / 17
LCM(96849,96866) = 551845602

Least Common Multiple (LCM) of 96849 and 96866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96849 and 96866. First we will calculate the prime factors of 96849 and 96866.

Prime Factorization of 96849

Prime Factorization of 96866

Now multiplying the highest exponent prime factors to calculate the LCM of 96849 and 96866.

LCM(96849,96866) = 3³ × 17¹ × 211¹ × 2¹ × 7¹ × 11¹ × 37¹
LCM(96849,96866) = 551845602