What is the Least Common Multiple of 81676 and 81696?

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 81676 and 81696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81676 and 81696, than apply into the LCM equation.

GCF(81676,81696) = 4
LCM(81676,81696) = ( 81676 × 81696) / 4
LCM(81676,81696) = 6672602496 / 4
LCM(81676,81696) = 1668150624

Least Common Multiple (LCM) of 81676 and 81696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81676 and 81696. First we will calculate the prime factors of 81676 and 81696.

Prime Factorization of 81676

Prime Factorization of 81696

Now multiplying the highest exponent prime factors to calculate the LCM of 81676 and 81696.

LCM(81676,81696) = 2⁵ × 7¹ × 2917¹ × 3¹ × 23¹ × 37¹
LCM(81676,81696) = 1668150624