What is the Least Common Multiple of 88432 and 88442?

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 88432 and 88442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88432 and 88442, than apply into the LCM equation.

GCF(88432,88442) = 2
LCM(88432,88442) = ( 88432 × 88442) / 2
LCM(88432,88442) = 7821102944 / 2
LCM(88432,88442) = 3910551472

Least Common Multiple (LCM) of 88432 and 88442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88432 and 88442. First we will calculate the prime factors of 88432 and 88442.

Prime Factorization of 88432

Prime Factorization of 88442

Now multiplying the highest exponent prime factors to calculate the LCM of 88432 and 88442.

LCM(88432,88442) = 2⁴ × 5527¹ × 44221¹
LCM(88432,88442) = 3910551472