What is the Least Common Multiple of 20919 and 20938?

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 20919 and 20938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20919 and 20938, than apply into the LCM equation.

GCF(20919,20938) = 19
LCM(20919,20938) = ( 20919 × 20938) / 19
LCM(20919,20938) = 438002022 / 19
LCM(20919,20938) = 23052738

Least Common Multiple (LCM) of 20919 and 20938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20919 and 20938. First we will calculate the prime factors of 20919 and 20938.

Prime Factorization of 20919

Prime Factorization of 20938

Now multiplying the highest exponent prime factors to calculate the LCM of 20919 and 20938.

LCM(20919,20938) = 3¹ × 19² × 367¹ × 2¹ × 29¹
LCM(20919,20938) = 23052738