What is the Least Common Multiple of 21153 and 21165?

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 21153 and 21165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21153 and 21165, than apply into the LCM equation.

GCF(21153,21165) = 3
LCM(21153,21165) = ( 21153 × 21165) / 3
LCM(21153,21165) = 447703245 / 3
LCM(21153,21165) = 149234415

Least Common Multiple (LCM) of 21153 and 21165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21153 and 21165. First we will calculate the prime factors of 21153 and 21165.

Prime Factorization of 21153

Prime Factorization of 21165

Now multiplying the highest exponent prime factors to calculate the LCM of 21153 and 21165.

LCM(21153,21165) = 3¹ × 11¹ × 641¹ × 5¹ × 17¹ × 83¹
LCM(21153,21165) = 149234415