What is the Least Common Multiple of 29450 and 29455?

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 29450 and 29455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29450 and 29455, than apply into the LCM equation.

GCF(29450,29455) = 5
LCM(29450,29455) = ( 29450 × 29455) / 5
LCM(29450,29455) = 867449750 / 5
LCM(29450,29455) = 173489950

Least Common Multiple (LCM) of 29450 and 29455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29450 and 29455. First we will calculate the prime factors of 29450 and 29455.

Prime Factorization of 29450

Prime Factorization of 29455

Now multiplying the highest exponent prime factors to calculate the LCM of 29450 and 29455.

LCM(29450,29455) = 2¹ × 5² × 19¹ × 31¹ × 43¹ × 137¹
LCM(29450,29455) = 173489950