What is the Least Common Multiple of 87846 and 87856?

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 87846 and 87856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87846 and 87856, than apply into the LCM equation.

GCF(87846,87856) = 2
LCM(87846,87856) = ( 87846 × 87856) / 2
LCM(87846,87856) = 7717798176 / 2
LCM(87846,87856) = 3858899088

Least Common Multiple (LCM) of 87846 and 87856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87846 and 87856. First we will calculate the prime factors of 87846 and 87856.

Prime Factorization of 87846

Prime Factorization of 87856

Now multiplying the highest exponent prime factors to calculate the LCM of 87846 and 87856.

LCM(87846,87856) = 2⁴ × 3¹ × 11⁴ × 17² × 19¹
LCM(87846,87856) = 3858899088