What is the Least Common Multiple of 21288 and 21305?

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 21288 and 21305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21288 and 21305, than apply into the LCM equation.

GCF(21288,21305) = 1
LCM(21288,21305) = ( 21288 × 21305) / 1
LCM(21288,21305) = 453540840 / 1
LCM(21288,21305) = 453540840

Least Common Multiple (LCM) of 21288 and 21305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21288 and 21305. First we will calculate the prime factors of 21288 and 21305.

Prime Factorization of 21288

Prime Factorization of 21305

Now multiplying the highest exponent prime factors to calculate the LCM of 21288 and 21305.

LCM(21288,21305) = 2³ × 3¹ × 887¹ × 5¹ × 4261¹
LCM(21288,21305) = 453540840