What is the Least Common Multiple of 96846 and 96863?

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 96846 and 96863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96846 and 96863, than apply into the LCM equation.

GCF(96846,96863) = 1
LCM(96846,96863) = ( 96846 × 96863) / 1
LCM(96846,96863) = 9380794098 / 1
LCM(96846,96863) = 9380794098

Least Common Multiple (LCM) of 96846 and 96863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96846 and 96863. First we will calculate the prime factors of 96846 and 96863.

Prime Factorization of 96846

Prime Factorization of 96863

Now multiplying the highest exponent prime factors to calculate the LCM of 96846 and 96863.

LCM(96846,96863) = 2¹ × 3¹ × 16141¹ × 13¹ × 7451¹
LCM(96846,96863) = 9380794098