What is the Least Common Multiple of 43050 and 43055?

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 43050 and 43055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43050 and 43055, than apply into the LCM equation.

GCF(43050,43055) = 5
LCM(43050,43055) = ( 43050 × 43055) / 5
LCM(43050,43055) = 1853517750 / 5
LCM(43050,43055) = 370703550

Least Common Multiple (LCM) of 43050 and 43055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43050 and 43055. First we will calculate the prime factors of 43050 and 43055.

Prime Factorization of 43050

Prime Factorization of 43055

Now multiplying the highest exponent prime factors to calculate the LCM of 43050 and 43055.

LCM(43050,43055) = 2¹ × 3¹ × 5² × 7¹ × 41¹ × 79¹ × 109¹
LCM(43050,43055) = 370703550