What is the Least Common Multiple of 81776 and 81796?

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 81776 and 81796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81776 and 81796, than apply into the LCM equation.

GCF(81776,81796) = 4
LCM(81776,81796) = ( 81776 × 81796) / 4
LCM(81776,81796) = 6688949696 / 4
LCM(81776,81796) = 1672237424

Least Common Multiple (LCM) of 81776 and 81796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81776 and 81796. First we will calculate the prime factors of 81776 and 81796.

Prime Factorization of 81776

Prime Factorization of 81796

Now multiplying the highest exponent prime factors to calculate the LCM of 81776 and 81796.

LCM(81776,81796) = 2⁴ × 19¹ × 269¹ × 11² × 13²
LCM(81776,81796) = 1672237424