What is the Least Common Multiple of 76544 and 76559?

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 76544 and 76559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76544 and 76559, than apply into the LCM equation.

GCF(76544,76559) = 1
LCM(76544,76559) = ( 76544 × 76559) / 1
LCM(76544,76559) = 5860132096 / 1
LCM(76544,76559) = 5860132096

Least Common Multiple (LCM) of 76544 and 76559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76544 and 76559. First we will calculate the prime factors of 76544 and 76559.

Prime Factorization of 76544

Prime Factorization of 76559

Now multiplying the highest exponent prime factors to calculate the LCM of 76544 and 76559.

LCM(76544,76559) = 2⁸ × 13¹ × 23¹ × 7¹ × 10937¹
LCM(76544,76559) = 5860132096