What is the Least Common Multiple of 96629 and 96638?

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 96629 and 96638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96629 and 96638, than apply into the LCM equation.

GCF(96629,96638) = 1
LCM(96629,96638) = ( 96629 × 96638) / 1
LCM(96629,96638) = 9338033302 / 1
LCM(96629,96638) = 9338033302

Least Common Multiple (LCM) of 96629 and 96638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96629 and 96638. First we will calculate the prime factors of 96629 and 96638.

Prime Factorization of 96629

Prime Factorization of 96638

Now multiplying the highest exponent prime factors to calculate the LCM of 96629 and 96638.

LCM(96629,96638) = 13¹ × 7433¹ × 2¹ × 211¹ × 229¹
LCM(96629,96638) = 9338033302