What is the Least Common Multiple of 43520 and 43525?

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 43520 and 43525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43520 and 43525, than apply into the LCM equation.

GCF(43520,43525) = 5
LCM(43520,43525) = ( 43520 × 43525) / 5
LCM(43520,43525) = 1894208000 / 5
LCM(43520,43525) = 378841600

Least Common Multiple (LCM) of 43520 and 43525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43520 and 43525. First we will calculate the prime factors of 43520 and 43525.

Prime Factorization of 43520

Prime Factorization of 43525

Now multiplying the highest exponent prime factors to calculate the LCM of 43520 and 43525.

LCM(43520,43525) = 2⁹ × 5² × 17¹ × 1741¹
LCM(43520,43525) = 378841600