What is the Least Common Multiple of 96924 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 96924 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 96924 and 96936, than apply into the LCM equation.

GCF(96924,96936) = 12
LCM(96924,96936) = ( 96924 × 96936) / 12
LCM(96924,96936) = 9395424864 / 12
LCM(96924,96936) = 782952072

Least Common Multiple (LCM) of 96924 and 96936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96924 and 96936. First we will calculate the prime factors of 96924 and 96936.

Prime Factorization of 96924

Prime Factorization of 96936

Now multiplying the highest exponent prime factors to calculate the LCM of 96924 and 96936.

LCM(96924,96936) = 2³ × 3¹ × 41¹ × 197¹ × 7¹ × 577¹
LCM(96924,96936) = 782952072