What is the Least Common Multiple of 86641 and 86658?

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 86641 and 86658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86641 and 86658, than apply into the LCM equation.

GCF(86641,86658) = 1
LCM(86641,86658) = ( 86641 × 86658) / 1
LCM(86641,86658) = 7508135778 / 1
LCM(86641,86658) = 7508135778

Least Common Multiple (LCM) of 86641 and 86658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86641 and 86658. First we will calculate the prime factors of 86641 and 86658.

Prime Factorization of 86641

Prime Factorization of 86658

Now multiplying the highest exponent prime factors to calculate the LCM of 86641 and 86658.

LCM(86641,86658) = 23¹ × 3767¹ × 2¹ × 3¹ × 11¹ × 13¹ × 101¹
LCM(86641,86658) = 7508135778