What is the Least Common Multiple of 21996 and 22011?

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 21996 and 22011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21996 and 22011, than apply into the LCM equation.

GCF(21996,22011) = 3
LCM(21996,22011) = ( 21996 × 22011) / 3
LCM(21996,22011) = 484153956 / 3
LCM(21996,22011) = 161384652

Least Common Multiple (LCM) of 21996 and 22011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21996 and 22011. First we will calculate the prime factors of 21996 and 22011.

Prime Factorization of 21996

Prime Factorization of 22011

Now multiplying the highest exponent prime factors to calculate the LCM of 21996 and 22011.

LCM(21996,22011) = 2² × 3² × 13¹ × 47¹ × 11¹ × 23¹ × 29¹
LCM(21996,22011) = 161384652