What is the Least Common Multiple of 21080 and 21087?

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 21080 and 21087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21080 and 21087, than apply into the LCM equation.

GCF(21080,21087) = 1
LCM(21080,21087) = ( 21080 × 21087) / 1
LCM(21080,21087) = 444513960 / 1
LCM(21080,21087) = 444513960

Least Common Multiple (LCM) of 21080 and 21087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21080 and 21087. First we will calculate the prime factors of 21080 and 21087.

Prime Factorization of 21080

Prime Factorization of 21087

Now multiplying the highest exponent prime factors to calculate the LCM of 21080 and 21087.

LCM(21080,21087) = 2³ × 5¹ × 17¹ × 31¹ × 3³ × 11¹ × 71¹
LCM(21080,21087) = 444513960