What is the Least Common Multiple of 43470 and 43485?

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 43470 and 43485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43470 and 43485, than apply into the LCM equation.

GCF(43470,43485) = 15
LCM(43470,43485) = ( 43470 × 43485) / 15
LCM(43470,43485) = 1890292950 / 15
LCM(43470,43485) = 126019530

Least Common Multiple (LCM) of 43470 and 43485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43470 and 43485. First we will calculate the prime factors of 43470 and 43485.

Prime Factorization of 43470

Prime Factorization of 43485

Now multiplying the highest exponent prime factors to calculate the LCM of 43470 and 43485.

LCM(43470,43485) = 2¹ × 3³ × 5¹ × 7¹ × 23¹ × 13¹ × 223¹
LCM(43470,43485) = 126019530