What is the Least Common Multiple of 16410 and 16415?

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 16410 and 16415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16410 and 16415, than apply into the LCM equation.

GCF(16410,16415) = 5
LCM(16410,16415) = ( 16410 × 16415) / 5
LCM(16410,16415) = 269370150 / 5
LCM(16410,16415) = 53874030

Least Common Multiple (LCM) of 16410 and 16415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16410 and 16415. First we will calculate the prime factors of 16410 and 16415.

Prime Factorization of 16410

Prime Factorization of 16415

Now multiplying the highest exponent prime factors to calculate the LCM of 16410 and 16415.

LCM(16410,16415) = 2¹ × 3¹ × 5¹ × 547¹ × 7² × 67¹
LCM(16410,16415) = 53874030