What is the Least Common Multiple of 96922 and 96936?

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 96922 and 96936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96922 and 96936, than apply into the LCM equation.

GCF(96922,96936) = 14
LCM(96922,96936) = ( 96922 × 96936) / 14
LCM(96922,96936) = 9395230992 / 14
LCM(96922,96936) = 671087928

Least Common Multiple (LCM) of 96922 and 96936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96922 and 96936. First we will calculate the prime factors of 96922 and 96936.

Prime Factorization of 96922

Prime Factorization of 96936

Now multiplying the highest exponent prime factors to calculate the LCM of 96922 and 96936.

LCM(96922,96936) = 2³ × 7² × 23¹ × 43¹ × 3¹ × 577¹
LCM(96922,96936) = 671087928