What is the Least Common Multiple of 86583 and 86603?

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 86583 and 86603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86583 and 86603, than apply into the LCM equation.

GCF(86583,86603) = 1
LCM(86583,86603) = ( 86583 × 86603) / 1
LCM(86583,86603) = 7498347549 / 1
LCM(86583,86603) = 7498347549

Least Common Multiple (LCM) of 86583 and 86603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86583 and 86603. First we will calculate the prime factors of 86583 and 86603.

Prime Factorization of 86583

Prime Factorization of 86603

Now multiplying the highest exponent prime factors to calculate the LCM of 86583 and 86603.

LCM(86583,86603) = 3¹ × 7² × 19¹ × 31¹ × 11¹ × 7873¹
LCM(86583,86603) = 7498347549