What is the Least Common Multiple of 43704 and 43710?

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 43710 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 43710, than apply into the LCM equation.

GCF(43704,43710) = 6
LCM(43704,43710) = ( 43704 × 43710) / 6
LCM(43704,43710) = 1910301840 / 6
LCM(43704,43710) = 318383640

Least Common Multiple (LCM) of 43704 and 43710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43704 and 43710. First we will calculate the prime factors of 43704 and 43710.

Prime Factorization of 43704

Prime Factorization of 43710

Now multiplying the highest exponent prime factors to calculate the LCM of 43704 and 43710.

LCM(43704,43710) = 2³ × 3² × 607¹ × 5¹ × 31¹ × 47¹
LCM(43704,43710) = 318383640