What is the Least Common Multiple of 78384 and 78403?

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 78384 and 78403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78384 and 78403, than apply into the LCM equation.

GCF(78384,78403) = 1
LCM(78384,78403) = ( 78384 × 78403) / 1
LCM(78384,78403) = 6145540752 / 1
LCM(78384,78403) = 6145540752

Least Common Multiple (LCM) of 78384 and 78403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78384 and 78403. First we will calculate the prime factors of 78384 and 78403.

Prime Factorization of 78384

Prime Factorization of 78403

Now multiplying the highest exponent prime factors to calculate the LCM of 78384 and 78403.

LCM(78384,78403) = 2⁴ × 3¹ × 23¹ × 71¹ × 13¹ × 37¹ × 163¹
LCM(78384,78403) = 6145540752