What is the Least Common Multiple of 81374 and 81389?

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 81374 and 81389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81374 and 81389, than apply into the LCM equation.

GCF(81374,81389) = 1
LCM(81374,81389) = ( 81374 × 81389) / 1
LCM(81374,81389) = 6622948486 / 1
LCM(81374,81389) = 6622948486

Least Common Multiple (LCM) of 81374 and 81389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81374 and 81389. First we will calculate the prime factors of 81374 and 81389.

Prime Factorization of 81374

Prime Factorization of 81389

Now multiplying the highest exponent prime factors to calculate the LCM of 81374 and 81389.

LCM(81374,81389) = 2¹ × 23¹ × 29¹ × 61¹ × 7² × 11¹ × 151¹
LCM(81374,81389) = 6622948486