What is the Least Common Multiple of 19544 and 19551?

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 19544 and 19551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19544 and 19551, than apply into the LCM equation.

GCF(19544,19551) = 7
LCM(19544,19551) = ( 19544 × 19551) / 7
LCM(19544,19551) = 382104744 / 7
LCM(19544,19551) = 54586392

Least Common Multiple (LCM) of 19544 and 19551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19544 and 19551. First we will calculate the prime factors of 19544 and 19551.

Prime Factorization of 19544

Prime Factorization of 19551

Now multiplying the highest exponent prime factors to calculate the LCM of 19544 and 19551.

LCM(19544,19551) = 2³ × 7³ × 349¹ × 3¹ × 19¹
LCM(19544,19551) = 54586392