What is the Least Common Multiple of 21996 and 22016?

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 22016 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 22016, than apply into the LCM equation.

GCF(21996,22016) = 4
LCM(21996,22016) = ( 21996 × 22016) / 4
LCM(21996,22016) = 484263936 / 4
LCM(21996,22016) = 121065984

Least Common Multiple (LCM) of 21996 and 22016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21996 and 22016. First we will calculate the prime factors of 21996 and 22016.

Prime Factorization of 21996

Prime Factorization of 22016

Now multiplying the highest exponent prime factors to calculate the LCM of 21996 and 22016.

LCM(21996,22016) = 2⁹ × 3² × 13¹ × 47¹ × 43¹
LCM(21996,22016) = 121065984