What is the Least Common Multiple of 43404 and 43424?

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 43404 and 43424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43404 and 43424, than apply into the LCM equation.

GCF(43404,43424) = 4
LCM(43404,43424) = ( 43404 × 43424) / 4
LCM(43404,43424) = 1884775296 / 4
LCM(43404,43424) = 471193824

Least Common Multiple (LCM) of 43404 and 43424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43404 and 43424. First we will calculate the prime factors of 43404 and 43424.

Prime Factorization of 43404

Prime Factorization of 43424

Now multiplying the highest exponent prime factors to calculate the LCM of 43404 and 43424.

LCM(43404,43424) = 2⁵ × 3¹ × 3617¹ × 23¹ × 59¹
LCM(43404,43424) = 471193824