What is the Least Common Multiple of 51925 and 51937?

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 51925 and 51937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51925 and 51937, than apply into the LCM equation.

GCF(51925,51937) = 1
LCM(51925,51937) = ( 51925 × 51937) / 1
LCM(51925,51937) = 2696828725 / 1
LCM(51925,51937) = 2696828725

Least Common Multiple (LCM) of 51925 and 51937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51925 and 51937. First we will calculate the prime factors of 51925 and 51937.

Prime Factorization of 51925

Prime Factorization of 51937

Now multiplying the highest exponent prime factors to calculate the LCM of 51925 and 51937.

LCM(51925,51937) = 5² × 31¹ × 67¹ × 167¹ × 311¹
LCM(51925,51937) = 2696828725