What is the Least Common Multiple of 43569 and 43575?

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 43569 and 43575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43569 and 43575, than apply into the LCM equation.

GCF(43569,43575) = 3
LCM(43569,43575) = ( 43569 × 43575) / 3
LCM(43569,43575) = 1898519175 / 3
LCM(43569,43575) = 632839725

Least Common Multiple (LCM) of 43569 and 43575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43569 and 43575. First we will calculate the prime factors of 43569 and 43575.

Prime Factorization of 43569

Prime Factorization of 43575

Now multiplying the highest exponent prime factors to calculate the LCM of 43569 and 43575.

LCM(43569,43575) = 3² × 47¹ × 103¹ × 5² × 7¹ × 83¹
LCM(43569,43575) = 632839725