What is the Least Common Multiple of 96390 and 96408?

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 96390 and 96408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96390 and 96408, than apply into the LCM equation.

GCF(96390,96408) = 18
LCM(96390,96408) = ( 96390 × 96408) / 18
LCM(96390,96408) = 9292767120 / 18
LCM(96390,96408) = 516264840

Least Common Multiple (LCM) of 96390 and 96408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96390 and 96408. First we will calculate the prime factors of 96390 and 96408.

Prime Factorization of 96390

Prime Factorization of 96408

Now multiplying the highest exponent prime factors to calculate the LCM of 96390 and 96408.

LCM(96390,96408) = 2³ × 3⁴ × 5¹ × 7¹ × 17¹ × 13¹ × 103¹
LCM(96390,96408) = 516264840