What is the Least Common Multiple of 21999 and 22019?

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 21999 and 22019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21999 and 22019, than apply into the LCM equation.

GCF(21999,22019) = 1
LCM(21999,22019) = ( 21999 × 22019) / 1
LCM(21999,22019) = 484395981 / 1
LCM(21999,22019) = 484395981

Least Common Multiple (LCM) of 21999 and 22019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21999 and 22019. First we will calculate the prime factors of 21999 and 22019.

Prime Factorization of 21999

Prime Factorization of 22019

Now multiplying the highest exponent prime factors to calculate the LCM of 21999 and 22019.

LCM(21999,22019) = 3¹ × 7333¹ × 97¹ × 227¹
LCM(21999,22019) = 484395981