What is the Least Common Multiple of 43704 and 43713?

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 43704 and 43713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43704 and 43713, than apply into the LCM equation.

GCF(43704,43713) = 9
LCM(43704,43713) = ( 43704 × 43713) / 9
LCM(43704,43713) = 1910432952 / 9
LCM(43704,43713) = 212270328

Least Common Multiple (LCM) of 43704 and 43713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43704 and 43713. First we will calculate the prime factors of 43704 and 43713.

Prime Factorization of 43704

Prime Factorization of 43713

Now multiplying the highest exponent prime factors to calculate the LCM of 43704 and 43713.

LCM(43704,43713) = 2³ × 3³ × 607¹ × 1619¹
LCM(43704,43713) = 212270328