What is the Least Common Multiple of 85338 and 85351?

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 85338 and 85351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85338 and 85351, than apply into the LCM equation.

GCF(85338,85351) = 1
LCM(85338,85351) = ( 85338 × 85351) / 1
LCM(85338,85351) = 7283683638 / 1
LCM(85338,85351) = 7283683638

Least Common Multiple (LCM) of 85338 and 85351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85338 and 85351. First we will calculate the prime factors of 85338 and 85351.

Prime Factorization of 85338

Prime Factorization of 85351

Now multiplying the highest exponent prime factors to calculate the LCM of 85338 and 85351.

LCM(85338,85351) = 2¹ × 3² × 11¹ × 431¹ × 7¹ × 89¹ × 137¹
LCM(85338,85351) = 7283683638