What is the Least Common Multiple of 43464 and 43479?

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 43464 and 43479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43464 and 43479, than apply into the LCM equation.

GCF(43464,43479) = 3
LCM(43464,43479) = ( 43464 × 43479) / 3
LCM(43464,43479) = 1889771256 / 3
LCM(43464,43479) = 629923752

Least Common Multiple (LCM) of 43464 and 43479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43464 and 43479. First we will calculate the prime factors of 43464 and 43479.

Prime Factorization of 43464

Prime Factorization of 43479

Now multiplying the highest exponent prime factors to calculate the LCM of 43464 and 43479.

LCM(43464,43479) = 2³ × 3² × 1811¹ × 4831¹
LCM(43464,43479) = 629923752