What is the Least Common Multiple of 19928 and 19945?

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 19945 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 19945, than apply into the LCM equation.

GCF(19928,19945) = 1
LCM(19928,19945) = ( 19928 × 19945) / 1
LCM(19928,19945) = 397463960 / 1
LCM(19928,19945) = 397463960

Least Common Multiple (LCM) of 19928 and 19945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19928 and 19945. First we will calculate the prime factors of 19928 and 19945.

Prime Factorization of 19928

Prime Factorization of 19945

Now multiplying the highest exponent prime factors to calculate the LCM of 19928 and 19945.

LCM(19928,19945) = 2³ × 47¹ × 53¹ × 5¹ × 3989¹
LCM(19928,19945) = 397463960