What is the Least Common Multiple of 85526 and 85531?

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 85526 and 85531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85526 and 85531, than apply into the LCM equation.

GCF(85526,85531) = 1
LCM(85526,85531) = ( 85526 × 85531) / 1
LCM(85526,85531) = 7315124306 / 1
LCM(85526,85531) = 7315124306

Least Common Multiple (LCM) of 85526 and 85531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85526 and 85531. First we will calculate the prime factors of 85526 and 85531.

Prime Factorization of 85526

Prime Factorization of 85531

Now multiplying the highest exponent prime factors to calculate the LCM of 85526 and 85531.

LCM(85526,85531) = 2¹ × 7¹ × 41¹ × 149¹ × 85531¹
LCM(85526,85531) = 7315124306