What is the Least Common Multiple of 86543 and 86551?

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 86543 and 86551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86543 and 86551, than apply into the LCM equation.

GCF(86543,86551) = 1
LCM(86543,86551) = ( 86543 × 86551) / 1
LCM(86543,86551) = 7490383193 / 1
LCM(86543,86551) = 7490383193

Least Common Multiple (LCM) of 86543 and 86551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86543 and 86551. First we will calculate the prime factors of 86543 and 86551.

Prime Factorization of 86543

Prime Factorization of 86551

Now multiplying the highest exponent prime factors to calculate the LCM of 86543 and 86551.

LCM(86543,86551) = 37¹ × 2339¹ × 41¹ × 2111¹
LCM(86543,86551) = 7490383193