What is the Least Common Multiple of 85325 and 85342?

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 85325 and 85342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85325 and 85342, than apply into the LCM equation.

GCF(85325,85342) = 1
LCM(85325,85342) = ( 85325 × 85342) / 1
LCM(85325,85342) = 7281806150 / 1
LCM(85325,85342) = 7281806150

Least Common Multiple (LCM) of 85325 and 85342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85325 and 85342. First we will calculate the prime factors of 85325 and 85342.

Prime Factorization of 85325

Prime Factorization of 85342

Now multiplying the highest exponent prime factors to calculate the LCM of 85325 and 85342.

LCM(85325,85342) = 5² × 3413¹ × 2¹ × 71¹ × 601¹
LCM(85325,85342) = 7281806150