What is the Least Common Multiple of 86358 and 86371?

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 86358 and 86371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86358 and 86371, than apply into the LCM equation.

GCF(86358,86371) = 1
LCM(86358,86371) = ( 86358 × 86371) / 1
LCM(86358,86371) = 7458826818 / 1
LCM(86358,86371) = 7458826818

Least Common Multiple (LCM) of 86358 and 86371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86358 and 86371. First we will calculate the prime factors of 86358 and 86371.

Prime Factorization of 86358

Prime Factorization of 86371

Now multiplying the highest exponent prime factors to calculate the LCM of 86358 and 86371.

LCM(86358,86371) = 2¹ × 3¹ × 37¹ × 389¹ × 86371¹
LCM(86358,86371) = 7458826818