What is the Least Common Multiple of 43716 and 43720?

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 43716 and 43720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43716 and 43720, than apply into the LCM equation.

GCF(43716,43720) = 4
LCM(43716,43720) = ( 43716 × 43720) / 4
LCM(43716,43720) = 1911263520 / 4
LCM(43716,43720) = 477815880

Least Common Multiple (LCM) of 43716 and 43720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43716 and 43720. First we will calculate the prime factors of 43716 and 43720.

Prime Factorization of 43716

Prime Factorization of 43720

Now multiplying the highest exponent prime factors to calculate the LCM of 43716 and 43720.

LCM(43716,43720) = 2³ × 3¹ × 3643¹ × 5¹ × 1093¹
LCM(43716,43720) = 477815880