What is the Least Common Multiple of 50191 and 50201?

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 50191 and 50201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50191 and 50201, than apply into the LCM equation.

GCF(50191,50201) = 1
LCM(50191,50201) = ( 50191 × 50201) / 1
LCM(50191,50201) = 2519638391 / 1
LCM(50191,50201) = 2519638391

Least Common Multiple (LCM) of 50191 and 50201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50191 and 50201. First we will calculate the prime factors of 50191 and 50201.

Prime Factorization of 50191

Prime Factorization of 50201

Now multiplying the highest exponent prime factors to calculate the LCM of 50191 and 50201.

LCM(50191,50201) = 53¹ × 947¹ × 17¹ × 2953¹
LCM(50191,50201) = 2519638391