What is the Least Common Multiple of 8646 and 8665?

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 8646 and 8665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8646 and 8665, than apply into the LCM equation.

GCF(8646,8665) = 1
LCM(8646,8665) = ( 8646 × 8665) / 1
LCM(8646,8665) = 74917590 / 1
LCM(8646,8665) = 74917590

Least Common Multiple (LCM) of 8646 and 8665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8646 and 8665. First we will calculate the prime factors of 8646 and 8665.

Prime Factorization of 8646

Prime Factorization of 8665

Now multiplying the highest exponent prime factors to calculate the LCM of 8646 and 8665.

LCM(8646,8665) = 2¹ × 3¹ × 11¹ × 131¹ × 5¹ × 1733¹
LCM(8646,8665) = 74917590