What is the Least Common Multiple of 83776 and 83789?

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 83776 and 83789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83776 and 83789, than apply into the LCM equation.

GCF(83776,83789) = 1
LCM(83776,83789) = ( 83776 × 83789) / 1
LCM(83776,83789) = 7019507264 / 1
LCM(83776,83789) = 7019507264

Least Common Multiple (LCM) of 83776 and 83789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83776 and 83789. First we will calculate the prime factors of 83776 and 83789.

Prime Factorization of 83776

Prime Factorization of 83789

Now multiplying the highest exponent prime factors to calculate the LCM of 83776 and 83789.

LCM(83776,83789) = 2⁶ × 7¹ × 11¹ × 17¹ × 23¹ × 3643¹
LCM(83776,83789) = 7019507264