What is the Least Common Multiple of 21990 and 21997?

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 21990 and 21997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21990 and 21997, than apply into the LCM equation.

GCF(21990,21997) = 1
LCM(21990,21997) = ( 21990 × 21997) / 1
LCM(21990,21997) = 483714030 / 1
LCM(21990,21997) = 483714030

Least Common Multiple (LCM) of 21990 and 21997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21990 and 21997. First we will calculate the prime factors of 21990 and 21997.

Prime Factorization of 21990

Prime Factorization of 21997

Now multiplying the highest exponent prime factors to calculate the LCM of 21990 and 21997.

LCM(21990,21997) = 2¹ × 3¹ × 5¹ × 733¹ × 21997¹
LCM(21990,21997) = 483714030