GCF and LCM Calculator Logo

What is the Least Common Multiple of 50011 and 50027?

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 (LCM) of 50011 and 50027 is 2501900297.

LCM(50011,50027) = 2501900297

LCM Calculator and
and

Least Common Multiple of 50011 and 50027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50011 and 50027, than apply into the LCM equation.

GCF(50011,50027) = 1
LCM(50011,50027) = ( 50011 × 50027) / 1
LCM(50011,50027) = 2501900297 / 1
LCM(50011,50027) = 2501900297

Least Common Multiple (LCM) of 50011 and 50027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50011 and 50027. First we will calculate the prime factors of 50011 and 50027.

Prime Factorization of 50011

Prime factors of 50011 are 13, 3847. Prime factorization of 50011 in exponential form is:

50011 = 131 × 38471

Prime Factorization of 50027

Prime factors of 50027 are 19, 2633. Prime factorization of 50027 in exponential form is:

50027 = 191 × 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 50011 and 50027.

LCM(50011,50027) = 131 × 38471 × 191 × 26331
LCM(50011,50027) = 2501900297