What is the Least Common Multiple of 19341 and 19347?

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 19341 and 19347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19341 and 19347, than apply into the LCM equation.

GCF(19341,19347) = 3
LCM(19341,19347) = ( 19341 × 19347) / 3
LCM(19341,19347) = 374190327 / 3
LCM(19341,19347) = 124730109

Least Common Multiple (LCM) of 19341 and 19347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19341 and 19347. First we will calculate the prime factors of 19341 and 19347.

Prime Factorization of 19341

Prime Factorization of 19347

Now multiplying the highest exponent prime factors to calculate the LCM of 19341 and 19347.

LCM(19341,19347) = 3² × 7¹ × 307¹ × 6449¹
LCM(19341,19347) = 124730109