What is the Least Common Multiple of 19928 and 19946?

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 19928 and 19946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19928 and 19946, than apply into the LCM equation.

GCF(19928,19946) = 2
LCM(19928,19946) = ( 19928 × 19946) / 2
LCM(19928,19946) = 397483888 / 2
LCM(19928,19946) = 198741944

Least Common Multiple (LCM) of 19928 and 19946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19928 and 19946. First we will calculate the prime factors of 19928 and 19946.

Prime Factorization of 19928

Prime Factorization of 19946

Now multiplying the highest exponent prime factors to calculate the LCM of 19928 and 19946.

LCM(19928,19946) = 2³ × 47¹ × 53¹ × 9973¹
LCM(19928,19946) = 198741944