What is the Least Common Multiple of 85774 and 85782?

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 85774 and 85782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85774 and 85782, than apply into the LCM equation.

GCF(85774,85782) = 2
LCM(85774,85782) = ( 85774 × 85782) / 2
LCM(85774,85782) = 7357865268 / 2
LCM(85774,85782) = 3678932634

Least Common Multiple (LCM) of 85774 and 85782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85774 and 85782. First we will calculate the prime factors of 85774 and 85782.

Prime Factorization of 85774

Prime Factorization of 85782

Now multiplying the highest exponent prime factors to calculate the LCM of 85774 and 85782.

LCM(85774,85782) = 2¹ × 13¹ × 3299¹ × 3¹ × 17¹ × 29²
LCM(85774,85782) = 3678932634