What is the Least Common Multiple of 20999 and 21008?

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 20999 and 21008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20999 and 21008, than apply into the LCM equation.

GCF(20999,21008) = 1
LCM(20999,21008) = ( 20999 × 21008) / 1
LCM(20999,21008) = 441146992 / 1
LCM(20999,21008) = 441146992

Least Common Multiple (LCM) of 20999 and 21008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20999 and 21008. First we will calculate the prime factors of 20999 and 21008.

Prime Factorization of 20999

Prime Factorization of 21008

Now multiplying the highest exponent prime factors to calculate the LCM of 20999 and 21008.

LCM(20999,21008) = 11¹ × 23¹ × 83¹ × 2⁴ × 13¹ × 101¹
LCM(20999,21008) = 441146992