What is the Least Common Multiple of 81413 and 81420?

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 81413 and 81420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81413 and 81420, than apply into the LCM equation.

GCF(81413,81420) = 1
LCM(81413,81420) = ( 81413 × 81420) / 1
LCM(81413,81420) = 6628646460 / 1
LCM(81413,81420) = 6628646460

Least Common Multiple (LCM) of 81413 and 81420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81413 and 81420. First we will calculate the prime factors of 81413 and 81420.

Prime Factorization of 81413

Prime Factorization of 81420

Now multiplying the highest exponent prime factors to calculate the LCM of 81413 and 81420.

LCM(81413,81420) = 17¹ × 4789¹ × 2² × 3¹ × 5¹ × 23¹ × 59¹
LCM(81413,81420) = 6628646460