What is the Least Common Multiple of 88432 and 88445?

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 88445 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 88445, than apply into the LCM equation.

GCF(88432,88445) = 1
LCM(88432,88445) = ( 88432 × 88445) / 1
LCM(88432,88445) = 7821368240 / 1
LCM(88432,88445) = 7821368240

Least Common Multiple (LCM) of 88432 and 88445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88432 and 88445. First we will calculate the prime factors of 88432 and 88445.

Prime Factorization of 88432

Prime Factorization of 88445

Now multiplying the highest exponent prime factors to calculate the LCM of 88432 and 88445.

LCM(88432,88445) = 2⁴ × 5527¹ × 5¹ × 7² × 19²
LCM(88432,88445) = 7821368240