What is the Least Common Multiple of 66504 and 66519?

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 66504 and 66519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66504 and 66519, than apply into the LCM equation.

GCF(66504,66519) = 3
LCM(66504,66519) = ( 66504 × 66519) / 3
LCM(66504,66519) = 4423779576 / 3
LCM(66504,66519) = 1474593192

Least Common Multiple (LCM) of 66504 and 66519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66504 and 66519. First we will calculate the prime factors of 66504 and 66519.

Prime Factorization of 66504

Prime Factorization of 66519

Now multiplying the highest exponent prime factors to calculate the LCM of 66504 and 66519.

LCM(66504,66519) = 2³ × 3² × 17¹ × 163¹ × 19¹ × 389¹
LCM(66504,66519) = 1474593192