What is the Least Common Multiple of 81696 and 81700?

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 81696 and 81700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81696 and 81700, than apply into the LCM equation.

GCF(81696,81700) = 4
LCM(81696,81700) = ( 81696 × 81700) / 4
LCM(81696,81700) = 6674563200 / 4
LCM(81696,81700) = 1668640800

Least Common Multiple (LCM) of 81696 and 81700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81696 and 81700. First we will calculate the prime factors of 81696 and 81700.

Prime Factorization of 81696

Prime Factorization of 81700

Now multiplying the highest exponent prime factors to calculate the LCM of 81696 and 81700.

LCM(81696,81700) = 2⁵ × 3¹ × 23¹ × 37¹ × 5² × 19¹ × 43¹
LCM(81696,81700) = 1668640800