What is the Least Common Multiple of 43300 and 43305?

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 43300 and 43305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43300 and 43305, than apply into the LCM equation.

GCF(43300,43305) = 5
LCM(43300,43305) = ( 43300 × 43305) / 5
LCM(43300,43305) = 1875106500 / 5
LCM(43300,43305) = 375021300

Least Common Multiple (LCM) of 43300 and 43305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43300 and 43305. First we will calculate the prime factors of 43300 and 43305.

Prime Factorization of 43300

Prime Factorization of 43305

Now multiplying the highest exponent prime factors to calculate the LCM of 43300 and 43305.

LCM(43300,43305) = 2² × 5² × 433¹ × 3¹ × 2887¹
LCM(43300,43305) = 375021300