What is the Least Common Multiple of 19584 and 19601?

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 19584 and 19601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19584 and 19601, than apply into the LCM equation.

GCF(19584,19601) = 17
LCM(19584,19601) = ( 19584 × 19601) / 17
LCM(19584,19601) = 383865984 / 17
LCM(19584,19601) = 22580352

Least Common Multiple (LCM) of 19584 and 19601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19584 and 19601. First we will calculate the prime factors of 19584 and 19601.

Prime Factorization of 19584

Prime Factorization of 19601

Now multiplying the highest exponent prime factors to calculate the LCM of 19584 and 19601.

LCM(19584,19601) = 2⁷ × 3² × 17¹ × 1153¹
LCM(19584,19601) = 22580352