What is the Least Common Multiple of 19335 and 19341?

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 19335 and 19341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19335 and 19341, than apply into the LCM equation.

GCF(19335,19341) = 3
LCM(19335,19341) = ( 19335 × 19341) / 3
LCM(19335,19341) = 373958235 / 3
LCM(19335,19341) = 124652745

Least Common Multiple (LCM) of 19335 and 19341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19335 and 19341. First we will calculate the prime factors of 19335 and 19341.

Prime Factorization of 19335

Prime Factorization of 19341

Now multiplying the highest exponent prime factors to calculate the LCM of 19335 and 19341.

LCM(19335,19341) = 3² × 5¹ × 1289¹ × 7¹ × 307¹
LCM(19335,19341) = 124652745