What is the Least Common Multiple of 43677 and 43683?

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 43677 and 43683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43677 and 43683, than apply into the LCM equation.

GCF(43677,43683) = 3
LCM(43677,43683) = ( 43677 × 43683) / 3
LCM(43677,43683) = 1907942391 / 3
LCM(43677,43683) = 635980797

Least Common Multiple (LCM) of 43677 and 43683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43677 and 43683. First we will calculate the prime factors of 43677 and 43683.

Prime Factorization of 43677

Prime Factorization of 43683

Now multiplying the highest exponent prime factors to calculate the LCM of 43677 and 43683.

LCM(43677,43683) = 3² × 23¹ × 211¹ × 14561¹
LCM(43677,43683) = 635980797