What is the Least Common Multiple of 19928 and 19935?

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 19935 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 19935, than apply into the LCM equation.

GCF(19928,19935) = 1
LCM(19928,19935) = ( 19928 × 19935) / 1
LCM(19928,19935) = 397264680 / 1
LCM(19928,19935) = 397264680

Least Common Multiple (LCM) of 19928 and 19935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19928 and 19935. First we will calculate the prime factors of 19928 and 19935.

Prime Factorization of 19928

Prime Factorization of 19935

Now multiplying the highest exponent prime factors to calculate the LCM of 19928 and 19935.

LCM(19928,19935) = 2³ × 47¹ × 53¹ × 3² × 5¹ × 443¹
LCM(19928,19935) = 397264680