What is the Least Common Multiple of 6038 and 6050?

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 6038 and 6050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6038 and 6050, than apply into the LCM equation.

GCF(6038,6050) = 2
LCM(6038,6050) = ( 6038 × 6050) / 2
LCM(6038,6050) = 36529900 / 2
LCM(6038,6050) = 18264950

Least Common Multiple (LCM) of 6038 and 6050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6038 and 6050. First we will calculate the prime factors of 6038 and 6050.

Prime Factorization of 6038

Prime Factorization of 6050

Now multiplying the highest exponent prime factors to calculate the LCM of 6038 and 6050.

LCM(6038,6050) = 2¹ × 3019¹ × 5² × 11²
LCM(6038,6050) = 18264950