What is the Least Common Multiple of 85880 and 85894?

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 85880 and 85894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85880 and 85894, than apply into the LCM equation.

GCF(85880,85894) = 2
LCM(85880,85894) = ( 85880 × 85894) / 2
LCM(85880,85894) = 7376576720 / 2
LCM(85880,85894) = 3688288360

Least Common Multiple (LCM) of 85880 and 85894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85880 and 85894. First we will calculate the prime factors of 85880 and 85894.

Prime Factorization of 85880

Prime Factorization of 85894

Now multiplying the highest exponent prime factors to calculate the LCM of 85880 and 85894.

LCM(85880,85894) = 2³ × 5¹ × 19¹ × 113¹ × 67¹ × 641¹
LCM(85880,85894) = 3688288360