What is the Least Common Multiple of 50038 and 50053?

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 50038 and 50053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50038 and 50053, than apply into the LCM equation.

GCF(50038,50053) = 1
LCM(50038,50053) = ( 50038 × 50053) / 1
LCM(50038,50053) = 2504552014 / 1
LCM(50038,50053) = 2504552014

Least Common Multiple (LCM) of 50038 and 50053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50038 and 50053. First we will calculate the prime factors of 50038 and 50053.

Prime Factorization of 50038

Prime Factorization of 50053

Now multiplying the highest exponent prime factors to calculate the LCM of 50038 and 50053.

LCM(50038,50053) = 2¹ × 127¹ × 197¹ × 50053¹
LCM(50038,50053) = 2504552014