What is the Least Common Multiple of 96623 and 96637?

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 96623 and 96637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96623 and 96637, than apply into the LCM equation.

GCF(96623,96637) = 1
LCM(96623,96637) = ( 96623 × 96637) / 1
LCM(96623,96637) = 9337356851 / 1
LCM(96623,96637) = 9337356851

Least Common Multiple (LCM) of 96623 and 96637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96623 and 96637. First we will calculate the prime factors of 96623 and 96637.

Prime Factorization of 96623

Prime Factorization of 96637

Now multiplying the highest exponent prime factors to calculate the LCM of 96623 and 96637.

LCM(96623,96637) = 23¹ × 4201¹ × 41¹ × 2357¹
LCM(96623,96637) = 9337356851