What is the Least Common Multiple of 51946 and 51958?

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 51946 and 51958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51946 and 51958, than apply into the LCM equation.

GCF(51946,51958) = 2
LCM(51946,51958) = ( 51946 × 51958) / 2
LCM(51946,51958) = 2699010268 / 2
LCM(51946,51958) = 1349505134

Least Common Multiple (LCM) of 51946 and 51958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51946 and 51958. First we will calculate the prime factors of 51946 and 51958.

Prime Factorization of 51946

Prime Factorization of 51958

Now multiplying the highest exponent prime factors to calculate the LCM of 51946 and 51958.

LCM(51946,51958) = 2¹ × 19¹ × 1367¹ × 83¹ × 313¹
LCM(51946,51958) = 1349505134