What is the Least Common Multiple of 8658 and 8671?

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 8658 and 8671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8658 and 8671, than apply into the LCM equation.

GCF(8658,8671) = 13
LCM(8658,8671) = ( 8658 × 8671) / 13
LCM(8658,8671) = 75073518 / 13
LCM(8658,8671) = 5774886

Least Common Multiple (LCM) of 8658 and 8671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8658 and 8671. First we will calculate the prime factors of 8658 and 8671.

Prime Factorization of 8658

Prime Factorization of 8671

Now multiplying the highest exponent prime factors to calculate the LCM of 8658 and 8671.

LCM(8658,8671) = 2¹ × 3² × 13¹ × 37¹ × 23¹ × 29¹
LCM(8658,8671) = 5774886