What is the Least Common Multiple of 81696 and 81712?

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 81712 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 81712, than apply into the LCM equation.

GCF(81696,81712) = 16
LCM(81696,81712) = ( 81696 × 81712) / 16
LCM(81696,81712) = 6675543552 / 16
LCM(81696,81712) = 417221472

Least Common Multiple (LCM) of 81696 and 81712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81696 and 81712. First we will calculate the prime factors of 81696 and 81712.

Prime Factorization of 81696

Prime Factorization of 81712

Now multiplying the highest exponent prime factors to calculate the LCM of 81696 and 81712.

LCM(81696,81712) = 2⁵ × 3¹ × 23¹ × 37¹ × 5107¹
LCM(81696,81712) = 417221472