What is the Least Common Multiple of 19395 and 19413?

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 19395 and 19413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19395 and 19413, than apply into the LCM equation.

GCF(19395,19413) = 9
LCM(19395,19413) = ( 19395 × 19413) / 9
LCM(19395,19413) = 376515135 / 9
LCM(19395,19413) = 41835015

Least Common Multiple (LCM) of 19395 and 19413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19395 and 19413. First we will calculate the prime factors of 19395 and 19413.

Prime Factorization of 19395

Prime Factorization of 19413

Now multiplying the highest exponent prime factors to calculate the LCM of 19395 and 19413.

LCM(19395,19413) = 3³ × 5¹ × 431¹ × 719¹
LCM(19395,19413) = 41835015