What is the Least Common Multiple of 19938 and 19958?

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 19938 and 19958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19938 and 19958, than apply into the LCM equation.

GCF(19938,19958) = 2
LCM(19938,19958) = ( 19938 × 19958) / 2
LCM(19938,19958) = 397922604 / 2
LCM(19938,19958) = 198961302

Least Common Multiple (LCM) of 19938 and 19958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19938 and 19958. First we will calculate the prime factors of 19938 and 19958.

Prime Factorization of 19938

Prime Factorization of 19958

Now multiplying the highest exponent prime factors to calculate the LCM of 19938 and 19958.

LCM(19938,19958) = 2¹ × 3¹ × 3323¹ × 17¹ × 587¹
LCM(19938,19958) = 198961302