What is the Least Common Multiple of 20938 and 20954?

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 20938 and 20954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20938 and 20954, than apply into the LCM equation.

GCF(20938,20954) = 2
LCM(20938,20954) = ( 20938 × 20954) / 2
LCM(20938,20954) = 438734852 / 2
LCM(20938,20954) = 219367426

Least Common Multiple (LCM) of 20938 and 20954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20938 and 20954. First we will calculate the prime factors of 20938 and 20954.

Prime Factorization of 20938

Prime Factorization of 20954

Now multiplying the highest exponent prime factors to calculate the LCM of 20938 and 20954.

LCM(20938,20954) = 2¹ × 19² × 29¹ × 10477¹
LCM(20938,20954) = 219367426