What is the Least Common Multiple of 5038 and 5050?

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 5038 and 5050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5038 and 5050, than apply into the LCM equation.

GCF(5038,5050) = 2
LCM(5038,5050) = ( 5038 × 5050) / 2
LCM(5038,5050) = 25441900 / 2
LCM(5038,5050) = 12720950

Least Common Multiple (LCM) of 5038 and 5050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5038 and 5050. First we will calculate the prime factors of 5038 and 5050.

Prime Factorization of 5038

Prime Factorization of 5050

Now multiplying the highest exponent prime factors to calculate the LCM of 5038 and 5050.

LCM(5038,5050) = 2¹ × 11¹ × 229¹ × 5² × 101¹
LCM(5038,5050) = 12720950