What is the Least Common Multiple of 96392 and 96407?

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 96392 and 96407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96392 and 96407, than apply into the LCM equation.

GCF(96392,96407) = 1
LCM(96392,96407) = ( 96392 × 96407) / 1
LCM(96392,96407) = 9292863544 / 1
LCM(96392,96407) = 9292863544

Least Common Multiple (LCM) of 96392 and 96407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96392 and 96407. First we will calculate the prime factors of 96392 and 96407.

Prime Factorization of 96392

Prime Factorization of 96407

Now multiplying the highest exponent prime factors to calculate the LCM of 96392 and 96407.

LCM(96392,96407) = 2³ × 12049¹ × 17¹ × 53¹ × 107¹
LCM(96392,96407) = 9292863544