What is the Least Common Multiple of 19989 and 19996?

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 19989 and 19996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19989 and 19996, than apply into the LCM equation.

GCF(19989,19996) = 1
LCM(19989,19996) = ( 19989 × 19996) / 1
LCM(19989,19996) = 399700044 / 1
LCM(19989,19996) = 399700044

Least Common Multiple (LCM) of 19989 and 19996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19989 and 19996. First we will calculate the prime factors of 19989 and 19996.

Prime Factorization of 19989

Prime Factorization of 19996

Now multiplying the highest exponent prime factors to calculate the LCM of 19989 and 19996.

LCM(19989,19996) = 3² × 2221¹ × 2² × 4999¹
LCM(19989,19996) = 399700044