What is the Least Common Multiple of 43290 and 43296?

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 43290 and 43296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43290 and 43296, than apply into the LCM equation.

GCF(43290,43296) = 6
LCM(43290,43296) = ( 43290 × 43296) / 6
LCM(43290,43296) = 1874283840 / 6
LCM(43290,43296) = 312380640

Least Common Multiple (LCM) of 43290 and 43296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43290 and 43296. First we will calculate the prime factors of 43290 and 43296.

Prime Factorization of 43290

Prime Factorization of 43296

Now multiplying the highest exponent prime factors to calculate the LCM of 43290 and 43296.

LCM(43290,43296) = 2⁵ × 3² × 5¹ × 13¹ × 37¹ × 11¹ × 41¹
LCM(43290,43296) = 312380640