What is the Least Common Multiple of 5036 and 5054?

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 5036 and 5054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5036 and 5054, than apply into the LCM equation.

GCF(5036,5054) = 2
LCM(5036,5054) = ( 5036 × 5054) / 2
LCM(5036,5054) = 25451944 / 2
LCM(5036,5054) = 12725972

Least Common Multiple (LCM) of 5036 and 5054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5036 and 5054. First we will calculate the prime factors of 5036 and 5054.

Prime Factorization of 5036

Prime Factorization of 5054

Now multiplying the highest exponent prime factors to calculate the LCM of 5036 and 5054.

LCM(5036,5054) = 2² × 1259¹ × 7¹ × 19²
LCM(5036,5054) = 12725972