What is the Least Common Multiple of 86475 and 86493?

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 86475 and 86493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86475 and 86493, than apply into the LCM equation.

GCF(86475,86493) = 3
LCM(86475,86493) = ( 86475 × 86493) / 3
LCM(86475,86493) = 7479482175 / 3
LCM(86475,86493) = 2493160725

Least Common Multiple (LCM) of 86475 and 86493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86475 and 86493. First we will calculate the prime factors of 86475 and 86493.

Prime Factorization of 86475

Prime Factorization of 86493

Now multiplying the highest exponent prime factors to calculate the LCM of 86475 and 86493.

LCM(86475,86493) = 3¹ × 5² × 1153¹ × 11¹ × 2621¹
LCM(86475,86493) = 2493160725