What is the Least Common Multiple of 50109 and 50127?

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 50109 and 50127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50109 and 50127, than apply into the LCM equation.

GCF(50109,50127) = 3
LCM(50109,50127) = ( 50109 × 50127) / 3
LCM(50109,50127) = 2511813843 / 3
LCM(50109,50127) = 837271281

Least Common Multiple (LCM) of 50109 and 50127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50109 and 50127. First we will calculate the prime factors of 50109 and 50127.

Prime Factorization of 50109

Prime Factorization of 50127

Now multiplying the highest exponent prime factors to calculate the LCM of 50109 and 50127.

LCM(50109,50127) = 3¹ × 16703¹ × 7² × 11¹ × 31¹
LCM(50109,50127) = 837271281