What is the Least Common Multiple of 20942 and 20948?

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 20942 and 20948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20942 and 20948, than apply into the LCM equation.

GCF(20942,20948) = 2
LCM(20942,20948) = ( 20942 × 20948) / 2
LCM(20942,20948) = 438693016 / 2
LCM(20942,20948) = 219346508

Least Common Multiple (LCM) of 20942 and 20948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20942 and 20948. First we will calculate the prime factors of 20942 and 20948.

Prime Factorization of 20942

Prime Factorization of 20948

Now multiplying the highest exponent prime factors to calculate the LCM of 20942 and 20948.

LCM(20942,20948) = 2² × 37¹ × 283¹ × 5237¹
LCM(20942,20948) = 219346508