What is the Least Common Multiple of 86635 and 86641?

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 86635 and 86641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86635 and 86641, than apply into the LCM equation.

GCF(86635,86641) = 1
LCM(86635,86641) = ( 86635 × 86641) / 1
LCM(86635,86641) = 7506143035 / 1
LCM(86635,86641) = 7506143035

Least Common Multiple (LCM) of 86635 and 86641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86635 and 86641. First we will calculate the prime factors of 86635 and 86641.

Prime Factorization of 86635

Prime Factorization of 86641

Now multiplying the highest exponent prime factors to calculate the LCM of 86635 and 86641.

LCM(86635,86641) = 5¹ × 17327¹ × 23¹ × 3767¹
LCM(86635,86641) = 7506143035