What is the Least Common Multiple of 21999 and 22003?

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 22003 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 22003, than apply into the LCM equation.

GCF(21999,22003) = 1
LCM(21999,22003) = ( 21999 × 22003) / 1
LCM(21999,22003) = 484043997 / 1
LCM(21999,22003) = 484043997

Least Common Multiple (LCM) of 21999 and 22003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21999 and 22003. First we will calculate the prime factors of 21999 and 22003.

Prime Factorization of 21999

Prime Factorization of 22003

Now multiplying the highest exponent prime factors to calculate the LCM of 21999 and 22003.

LCM(21999,22003) = 3¹ × 7333¹ × 22003¹
LCM(21999,22003) = 484043997