What is the Least Common Multiple of 13284 and 13292?

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 13292 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 13292, than apply into the LCM equation.

GCF(13284,13292) = 4
LCM(13284,13292) = ( 13284 × 13292) / 4
LCM(13284,13292) = 176570928 / 4
LCM(13284,13292) = 44142732

Least Common Multiple (LCM) of 13284 and 13292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13284 and 13292. First we will calculate the prime factors of 13284 and 13292.

Prime Factorization of 13284

Prime Factorization of 13292

Now multiplying the highest exponent prime factors to calculate the LCM of 13284 and 13292.

LCM(13284,13292) = 2² × 3⁴ × 41¹ × 3323¹
LCM(13284,13292) = 44142732