What is the Least Common Multiple of 85275 and 85281?

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 85275 and 85281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85275 and 85281, than apply into the LCM equation.

GCF(85275,85281) = 3
LCM(85275,85281) = ( 85275 × 85281) / 3
LCM(85275,85281) = 7272337275 / 3
LCM(85275,85281) = 2424112425

Least Common Multiple (LCM) of 85275 and 85281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85275 and 85281. First we will calculate the prime factors of 85275 and 85281.

Prime Factorization of 85275

Prime Factorization of 85281

Now multiplying the highest exponent prime factors to calculate the LCM of 85275 and 85281.

LCM(85275,85281) = 3² × 5² × 379¹ × 7¹ × 31¹ × 131¹
LCM(85275,85281) = 2424112425