What is the Least Common Multiple of 20996 and 21011?

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 20996 and 21011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20996 and 21011, than apply into the LCM equation.

GCF(20996,21011) = 1
LCM(20996,21011) = ( 20996 × 21011) / 1
LCM(20996,21011) = 441146956 / 1
LCM(20996,21011) = 441146956

Least Common Multiple (LCM) of 20996 and 21011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20996 and 21011. First we will calculate the prime factors of 20996 and 21011.

Prime Factorization of 20996

Prime Factorization of 21011

Now multiplying the highest exponent prime factors to calculate the LCM of 20996 and 21011.

LCM(20996,21011) = 2² × 29¹ × 181¹ × 21011¹
LCM(20996,21011) = 441146956