What is the Least Common Multiple of 86574 and 86583?

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 86574 and 86583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86574 and 86583, than apply into the LCM equation.

GCF(86574,86583) = 3
LCM(86574,86583) = ( 86574 × 86583) / 3
LCM(86574,86583) = 7495836642 / 3
LCM(86574,86583) = 2498612214

Least Common Multiple (LCM) of 86574 and 86583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86574 and 86583. First we will calculate the prime factors of 86574 and 86583.

Prime Factorization of 86574

Prime Factorization of 86583

Now multiplying the highest exponent prime factors to calculate the LCM of 86574 and 86583.

LCM(86574,86583) = 2¹ × 3¹ × 47¹ × 307¹ × 7² × 19¹ × 31¹
LCM(86574,86583) = 2498612214