What is the Least Common Multiple of 43705 and 43725?

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 43705 and 43725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43705 and 43725, than apply into the LCM equation.

GCF(43705,43725) = 5
LCM(43705,43725) = ( 43705 × 43725) / 5
LCM(43705,43725) = 1911001125 / 5
LCM(43705,43725) = 382200225

Least Common Multiple (LCM) of 43705 and 43725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43705 and 43725. First we will calculate the prime factors of 43705 and 43725.

Prime Factorization of 43705

Prime Factorization of 43725

Now multiplying the highest exponent prime factors to calculate the LCM of 43705 and 43725.

LCM(43705,43725) = 5² × 8741¹ × 3¹ × 11¹ × 53¹
LCM(43705,43725) = 382200225