What is the Least Common Multiple of 43584 and 43590?

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 43584 and 43590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43584 and 43590, than apply into the LCM equation.

GCF(43584,43590) = 6
LCM(43584,43590) = ( 43584 × 43590) / 6
LCM(43584,43590) = 1899826560 / 6
LCM(43584,43590) = 316637760

Least Common Multiple (LCM) of 43584 and 43590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43584 and 43590. First we will calculate the prime factors of 43584 and 43590.

Prime Factorization of 43584

Prime Factorization of 43590

Now multiplying the highest exponent prime factors to calculate the LCM of 43584 and 43590.

LCM(43584,43590) = 2⁶ × 3¹ × 227¹ × 5¹ × 1453¹
LCM(43584,43590) = 316637760