What is the Least Common Multiple of 16989 and 16996?

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 16989 and 16996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16989 and 16996, than apply into the LCM equation.

GCF(16989,16996) = 7
LCM(16989,16996) = ( 16989 × 16996) / 7
LCM(16989,16996) = 288745044 / 7
LCM(16989,16996) = 41249292

Least Common Multiple (LCM) of 16989 and 16996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16989 and 16996. First we will calculate the prime factors of 16989 and 16996.

Prime Factorization of 16989

Prime Factorization of 16996

Now multiplying the highest exponent prime factors to calculate the LCM of 16989 and 16996.

LCM(16989,16996) = 3¹ × 7¹ × 809¹ × 2² × 607¹
LCM(16989,16996) = 41249292