What is the Least Common Multiple of 86385 and 86390?

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 86385 and 86390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86385 and 86390, than apply into the LCM equation.

GCF(86385,86390) = 5
LCM(86385,86390) = ( 86385 × 86390) / 5
LCM(86385,86390) = 7462800150 / 5
LCM(86385,86390) = 1492560030

Least Common Multiple (LCM) of 86385 and 86390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86385 and 86390. First we will calculate the prime factors of 86385 and 86390.

Prime Factorization of 86385

Prime Factorization of 86390

Now multiplying the highest exponent prime factors to calculate the LCM of 86385 and 86390.

LCM(86385,86390) = 3¹ × 5¹ × 13¹ × 443¹ × 2¹ × 53¹ × 163¹
LCM(86385,86390) = 1492560030