What is the Least Common Multiple of 96432 and 96442?

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 96432 and 96442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96432 and 96442, than apply into the LCM equation.

GCF(96432,96442) = 2
LCM(96432,96442) = ( 96432 × 96442) / 2
LCM(96432,96442) = 9300094944 / 2
LCM(96432,96442) = 4650047472

Least Common Multiple (LCM) of 96432 and 96442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96432 and 96442. First we will calculate the prime factors of 96432 and 96442.

Prime Factorization of 96432

Prime Factorization of 96442

Now multiplying the highest exponent prime factors to calculate the LCM of 96432 and 96442.

LCM(96432,96442) = 2⁴ × 3¹ × 7² × 41¹ × 48221¹
LCM(96432,96442) = 4650047472