What is the Least Common Multiple of 81478 and 81496?

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 81478 and 81496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81478 and 81496, than apply into the LCM equation.

GCF(81478,81496) = 2
LCM(81478,81496) = ( 81478 × 81496) / 2
LCM(81478,81496) = 6640131088 / 2
LCM(81478,81496) = 3320065544

Least Common Multiple (LCM) of 81478 and 81496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81478 and 81496. First we will calculate the prime factors of 81478 and 81496.

Prime Factorization of 81478

Prime Factorization of 81496

Now multiplying the highest exponent prime factors to calculate the LCM of 81478 and 81496.

LCM(81478,81496) = 2³ × 40739¹ × 61¹ × 167¹
LCM(81478,81496) = 3320065544