What is the Least Common Multiple of 81406 and 81424?

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 81406 and 81424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81406 and 81424, than apply into the LCM equation.

GCF(81406,81424) = 2
LCM(81406,81424) = ( 81406 × 81424) / 2
LCM(81406,81424) = 6628402144 / 2
LCM(81406,81424) = 3314201072

Least Common Multiple (LCM) of 81406 and 81424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81406 and 81424. First we will calculate the prime factors of 81406 and 81424.

Prime Factorization of 81406

Prime Factorization of 81424

Now multiplying the highest exponent prime factors to calculate the LCM of 81406 and 81424.

LCM(81406,81424) = 2⁴ × 13¹ × 31¹ × 101¹ × 7¹ × 727¹
LCM(81406,81424) = 3314201072