What is the Least Common Multiple of 13284 and 13290?

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 13284 and 13290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13284 and 13290, than apply into the LCM equation.

GCF(13284,13290) = 6
LCM(13284,13290) = ( 13284 × 13290) / 6
LCM(13284,13290) = 176544360 / 6
LCM(13284,13290) = 29424060

Least Common Multiple (LCM) of 13284 and 13290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13284 and 13290. First we will calculate the prime factors of 13284 and 13290.

Prime Factorization of 13284

Prime Factorization of 13290

Now multiplying the highest exponent prime factors to calculate the LCM of 13284 and 13290.

LCM(13284,13290) = 2² × 3⁴ × 41¹ × 5¹ × 443¹
LCM(13284,13290) = 29424060