What is the Least Common Multiple of 19593 and 19611?

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 19593 and 19611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19593 and 19611, than apply into the LCM equation.

GCF(19593,19611) = 9
LCM(19593,19611) = ( 19593 × 19611) / 9
LCM(19593,19611) = 384238323 / 9
LCM(19593,19611) = 42693147

Least Common Multiple (LCM) of 19593 and 19611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19593 and 19611. First we will calculate the prime factors of 19593 and 19611.

Prime Factorization of 19593

Prime Factorization of 19611

Now multiplying the highest exponent prime factors to calculate the LCM of 19593 and 19611.

LCM(19593,19611) = 3² × 7¹ × 311¹ × 2179¹
LCM(19593,19611) = 42693147