What is the Least Common Multiple of 86814 and 86827?

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 86814 and 86827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86814 and 86827, than apply into the LCM equation.

GCF(86814,86827) = 13
LCM(86814,86827) = ( 86814 × 86827) / 13
LCM(86814,86827) = 7537799178 / 13
LCM(86814,86827) = 579830706

Least Common Multiple (LCM) of 86814 and 86827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86814 and 86827. First we will calculate the prime factors of 86814 and 86827.

Prime Factorization of 86814

Prime Factorization of 86827

Now multiplying the highest exponent prime factors to calculate the LCM of 86814 and 86827.

LCM(86814,86827) = 2¹ × 3² × 7¹ × 13¹ × 53¹ × 6679¹
LCM(86814,86827) = 579830706