What is the Least Common Multiple of 85369 and 85381?

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 85369 and 85381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85369 and 85381, than apply into the LCM equation.

GCF(85369,85381) = 1
LCM(85369,85381) = ( 85369 × 85381) / 1
LCM(85369,85381) = 7288890589 / 1
LCM(85369,85381) = 7288890589

Least Common Multiple (LCM) of 85369 and 85381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85369 and 85381. First we will calculate the prime factors of 85369 and 85381.

Prime Factorization of 85369

Prime Factorization of 85381

Now multiplying the highest exponent prime factors to calculate the LCM of 85369 and 85381.

LCM(85369,85381) = 85369¹ × 85381¹
LCM(85369,85381) = 7288890589