What is the Least Common Multiple of 43806 and 43815?

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 43806 and 43815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43806 and 43815, than apply into the LCM equation.

GCF(43806,43815) = 3
LCM(43806,43815) = ( 43806 × 43815) / 3
LCM(43806,43815) = 1919359890 / 3
LCM(43806,43815) = 639786630

Least Common Multiple (LCM) of 43806 and 43815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43806 and 43815. First we will calculate the prime factors of 43806 and 43815.

Prime Factorization of 43806

Prime Factorization of 43815

Now multiplying the highest exponent prime factors to calculate the LCM of 43806 and 43815.

LCM(43806,43815) = 2¹ × 3¹ × 7² × 149¹ × 5¹ × 23¹ × 127¹
LCM(43806,43815) = 639786630