What is the Least Common Multiple of 43515 and 43530?

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 43515 and 43530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43515 and 43530, than apply into the LCM equation.

GCF(43515,43530) = 15
LCM(43515,43530) = ( 43515 × 43530) / 15
LCM(43515,43530) = 1894207950 / 15
LCM(43515,43530) = 126280530

Least Common Multiple (LCM) of 43515 and 43530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43515 and 43530. First we will calculate the prime factors of 43515 and 43530.

Prime Factorization of 43515

Prime Factorization of 43530

Now multiplying the highest exponent prime factors to calculate the LCM of 43515 and 43530.

LCM(43515,43530) = 3² × 5¹ × 967¹ × 2¹ × 1451¹
LCM(43515,43530) = 126280530