What is the Least Common Multiple of 87846 and 87865?

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 87865 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 87865, than apply into the LCM equation.

GCF(87846,87865) = 1
LCM(87846,87865) = ( 87846 × 87865) / 1
LCM(87846,87865) = 7718588790 / 1
LCM(87846,87865) = 7718588790

Least Common Multiple (LCM) of 87846 and 87865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87846 and 87865. First we will calculate the prime factors of 87846 and 87865.

Prime Factorization of 87846

Prime Factorization of 87865

Now multiplying the highest exponent prime factors to calculate the LCM of 87846 and 87865.

LCM(87846,87865) = 2¹ × 3¹ × 11⁴ × 5¹ × 17573¹
LCM(87846,87865) = 7718588790