What is the Least Common Multiple of 87432 and 87441?

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 87432 and 87441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87432 and 87441, than apply into the LCM equation.

GCF(87432,87441) = 3
LCM(87432,87441) = ( 87432 × 87441) / 3
LCM(87432,87441) = 7645141512 / 3
LCM(87432,87441) = 2548380504

Least Common Multiple (LCM) of 87432 and 87441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87432 and 87441. First we will calculate the prime factors of 87432 and 87441.

Prime Factorization of 87432

Prime Factorization of 87441

Now multiplying the highest exponent prime factors to calculate the LCM of 87432 and 87441.

LCM(87432,87441) = 2³ × 3¹ × 3643¹ × 29147¹
LCM(87432,87441) = 2548380504