What is the Least Common Multiple of 86541 and 86548?

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 86541 and 86548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86541 and 86548, than apply into the LCM equation.

GCF(86541,86548) = 7
LCM(86541,86548) = ( 86541 × 86548) / 7
LCM(86541,86548) = 7489950468 / 7
LCM(86541,86548) = 1069992924

Least Common Multiple (LCM) of 86541 and 86548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86541 and 86548. First we will calculate the prime factors of 86541 and 86548.

Prime Factorization of 86541

Prime Factorization of 86548

Now multiplying the highest exponent prime factors to calculate the LCM of 86541 and 86548.

LCM(86541,86548) = 3¹ × 7¹ × 13¹ × 317¹ × 2² × 11¹ × 281¹
LCM(86541,86548) = 1069992924