What is the Least Common Multiple of 85431 and 85442?

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 85431 and 85442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85431 and 85442, than apply into the LCM equation.

GCF(85431,85442) = 1
LCM(85431,85442) = ( 85431 × 85442) / 1
LCM(85431,85442) = 7299395502 / 1
LCM(85431,85442) = 7299395502

Least Common Multiple (LCM) of 85431 and 85442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85431 and 85442. First we will calculate the prime factors of 85431 and 85442.

Prime Factorization of 85431

Prime Factorization of 85442

Now multiplying the highest exponent prime factors to calculate the LCM of 85431 and 85442.

LCM(85431,85442) = 3¹ × 28477¹ × 2¹ × 7¹ × 17¹ × 359¹
LCM(85431,85442) = 7299395502