What is the Least Common Multiple of 19544 and 19549?

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 19549 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 19549, than apply into the LCM equation.

GCF(19544,19549) = 1
LCM(19544,19549) = ( 19544 × 19549) / 1
LCM(19544,19549) = 382065656 / 1
LCM(19544,19549) = 382065656

Least Common Multiple (LCM) of 19544 and 19549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19544 and 19549. First we will calculate the prime factors of 19544 and 19549.

Prime Factorization of 19544

Prime Factorization of 19549

Now multiplying the highest exponent prime factors to calculate the LCM of 19544 and 19549.

LCM(19544,19549) = 2³ × 7¹ × 349¹ × 113¹ × 173¹
LCM(19544,19549) = 382065656