What is the Least Common Multiple of 5055 and 5075?

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 5055 and 5075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5075, than apply into the LCM equation.

GCF(5055,5075) = 5
LCM(5055,5075) = ( 5055 × 5075) / 5
LCM(5055,5075) = 25654125 / 5
LCM(5055,5075) = 5130825

Least Common Multiple (LCM) of 5055 and 5075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5075. First we will calculate the prime factors of 5055 and 5075.

Prime Factorization of 5055

Prime Factorization of 5075

Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5075.

LCM(5055,5075) = 3¹ × 5² × 337¹ × 7¹ × 29¹
LCM(5055,5075) = 5130825