What is the Least Common Multiple of 87441 and 87459?

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 87441 and 87459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87441 and 87459, than apply into the LCM equation.

GCF(87441,87459) = 3
LCM(87441,87459) = ( 87441 × 87459) / 3
LCM(87441,87459) = 7647502419 / 3
LCM(87441,87459) = 2549167473

Least Common Multiple (LCM) of 87441 and 87459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87441 and 87459. First we will calculate the prime factors of 87441 and 87459.

Prime Factorization of 87441

Prime Factorization of 87459

Now multiplying the highest exponent prime factors to calculate the LCM of 87441 and 87459.

LCM(87441,87459) = 3¹ × 29147¹ × 29153¹
LCM(87441,87459) = 2549167473