What is the Least Common Multiple of 43805 and 43820?

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 43805 and 43820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43805 and 43820, than apply into the LCM equation.

GCF(43805,43820) = 5
LCM(43805,43820) = ( 43805 × 43820) / 5
LCM(43805,43820) = 1919535100 / 5
LCM(43805,43820) = 383907020

Least Common Multiple (LCM) of 43805 and 43820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43805 and 43820. First we will calculate the prime factors of 43805 and 43820.

Prime Factorization of 43805

Prime Factorization of 43820

Now multiplying the highest exponent prime factors to calculate the LCM of 43805 and 43820.

LCM(43805,43820) = 5¹ × 8761¹ × 2² × 7¹ × 313¹
LCM(43805,43820) = 383907020