What is the Least Common Multiple of 87846 and 87864?

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 87864 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 87864, than apply into the LCM equation.

GCF(87846,87864) = 6
LCM(87846,87864) = ( 87846 × 87864) / 6
LCM(87846,87864) = 7718500944 / 6
LCM(87846,87864) = 1286416824

Least Common Multiple (LCM) of 87846 and 87864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87846 and 87864. First we will calculate the prime factors of 87846 and 87864.

Prime Factorization of 87846

Prime Factorization of 87864

Now multiplying the highest exponent prime factors to calculate the LCM of 87846 and 87864.

LCM(87846,87864) = 2³ × 3¹ × 11⁴ × 7¹ × 523¹
LCM(87846,87864) = 1286416824