What is the Least Common Multiple of 81496 and 81502?

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 81496 and 81502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81496 and 81502, than apply into the LCM equation.

GCF(81496,81502) = 2
LCM(81496,81502) = ( 81496 × 81502) / 2
LCM(81496,81502) = 6642086992 / 2
LCM(81496,81502) = 3321043496

Least Common Multiple (LCM) of 81496 and 81502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81496 and 81502. First we will calculate the prime factors of 81496 and 81502.

Prime Factorization of 81496

Prime Factorization of 81502

Now multiplying the highest exponent prime factors to calculate the LCM of 81496 and 81502.

LCM(81496,81502) = 2³ × 61¹ × 167¹ × 40751¹
LCM(81496,81502) = 3321043496