What is the Least Common Multiple of 96435 and 96440?

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 96435 and 96440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96435 and 96440, than apply into the LCM equation.

GCF(96435,96440) = 5
LCM(96435,96440) = ( 96435 × 96440) / 5
LCM(96435,96440) = 9300191400 / 5
LCM(96435,96440) = 1860038280

Least Common Multiple (LCM) of 96435 and 96440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96435 and 96440. First we will calculate the prime factors of 96435 and 96440.

Prime Factorization of 96435

Prime Factorization of 96440

Now multiplying the highest exponent prime factors to calculate the LCM of 96435 and 96440.

LCM(96435,96440) = 3² × 5¹ × 2143¹ × 2³ × 2411¹
LCM(96435,96440) = 1860038280