What is the Least Common Multiple of 76544 and 76562?

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 76562 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 76562, than apply into the LCM equation.

GCF(76544,76562) = 2
LCM(76544,76562) = ( 76544 × 76562) / 2
LCM(76544,76562) = 5860361728 / 2
LCM(76544,76562) = 2930180864

Least Common Multiple (LCM) of 76544 and 76562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76544 and 76562. First we will calculate the prime factors of 76544 and 76562.

Prime Factorization of 76544

Prime Factorization of 76562

Now multiplying the highest exponent prime factors to calculate the LCM of 76544 and 76562.

LCM(76544,76562) = 2⁸ × 13¹ × 23¹ × 38281¹
LCM(76544,76562) = 2930180864