What is the Least Common Multiple of 19884 and 19902?

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 19884 and 19902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19884 and 19902, than apply into the LCM equation.

GCF(19884,19902) = 6
LCM(19884,19902) = ( 19884 × 19902) / 6
LCM(19884,19902) = 395731368 / 6
LCM(19884,19902) = 65955228

Least Common Multiple (LCM) of 19884 and 19902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19884 and 19902. First we will calculate the prime factors of 19884 and 19902.

Prime Factorization of 19884

Prime Factorization of 19902

Now multiplying the highest exponent prime factors to calculate the LCM of 19884 and 19902.

LCM(19884,19902) = 2² × 3¹ × 1657¹ × 31¹ × 107¹
LCM(19884,19902) = 65955228