What is the Least Common Multiple of 85514 and 85523?

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 85514 and 85523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85514 and 85523, than apply into the LCM equation.

GCF(85514,85523) = 1
LCM(85514,85523) = ( 85514 × 85523) / 1
LCM(85514,85523) = 7313413822 / 1
LCM(85514,85523) = 7313413822

Least Common Multiple (LCM) of 85514 and 85523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85514 and 85523. First we will calculate the prime factors of 85514 and 85523.

Prime Factorization of 85514

Prime Factorization of 85523

Now multiplying the highest exponent prime factors to calculate the LCM of 85514 and 85523.

LCM(85514,85523) = 2¹ × 11¹ × 13² × 23¹ × 85523¹
LCM(85514,85523) = 7313413822