What is the Least Common Multiple of 81341 and 81348?

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 81341 and 81348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81341 and 81348, than apply into the LCM equation.

GCF(81341,81348) = 1
LCM(81341,81348) = ( 81341 × 81348) / 1
LCM(81341,81348) = 6616927668 / 1
LCM(81341,81348) = 6616927668

Least Common Multiple (LCM) of 81341 and 81348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81341 and 81348. First we will calculate the prime factors of 81341 and 81348.

Prime Factorization of 81341

Prime Factorization of 81348

Now multiplying the highest exponent prime factors to calculate the LCM of 81341 and 81348.

LCM(81341,81348) = 13¹ × 6257¹ × 2² × 3¹ × 6779¹
LCM(81341,81348) = 6616927668