What is the Least Common Multiple of 19864 and 19884?

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 19864 and 19884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19864 and 19884, than apply into the LCM equation.

GCF(19864,19884) = 4
LCM(19864,19884) = ( 19864 × 19884) / 4
LCM(19864,19884) = 394975776 / 4
LCM(19864,19884) = 98743944

Least Common Multiple (LCM) of 19864 and 19884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19864 and 19884. First we will calculate the prime factors of 19864 and 19884.

Prime Factorization of 19864

Prime Factorization of 19884

Now multiplying the highest exponent prime factors to calculate the LCM of 19864 and 19884.

LCM(19864,19884) = 2³ × 13¹ × 191¹ × 3¹ × 1657¹
LCM(19864,19884) = 98743944