What is the Least Common Multiple of 96408 and 96424?

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 96408 and 96424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96408 and 96424, than apply into the LCM equation.

GCF(96408,96424) = 8
LCM(96408,96424) = ( 96408 × 96424) / 8
LCM(96408,96424) = 9296044992 / 8
LCM(96408,96424) = 1162005624

Least Common Multiple (LCM) of 96408 and 96424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96408 and 96424. First we will calculate the prime factors of 96408 and 96424.

Prime Factorization of 96408

Prime Factorization of 96424

Now multiplying the highest exponent prime factors to calculate the LCM of 96408 and 96424.

LCM(96408,96424) = 2³ × 3² × 13¹ × 103¹ × 17¹ × 709¹
LCM(96408,96424) = 1162005624