What is the Least Common Multiple of 85865 and 85874?

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 85865 and 85874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85865 and 85874, than apply into the LCM equation.

GCF(85865,85874) = 1
LCM(85865,85874) = ( 85865 × 85874) / 1
LCM(85865,85874) = 7373571010 / 1
LCM(85865,85874) = 7373571010

Least Common Multiple (LCM) of 85865 and 85874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85865 and 85874. First we will calculate the prime factors of 85865 and 85874.

Prime Factorization of 85865

Prime Factorization of 85874

Now multiplying the highest exponent prime factors to calculate the LCM of 85865 and 85874.

LCM(85865,85874) = 5¹ × 13¹ × 1321¹ × 2¹ × 42937¹
LCM(85865,85874) = 7373571010