What is the Least Common Multiple of 51196 and 51214?

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 51196 and 51214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51196 and 51214, than apply into the LCM equation.

GCF(51196,51214) = 2
LCM(51196,51214) = ( 51196 × 51214) / 2
LCM(51196,51214) = 2621951944 / 2
LCM(51196,51214) = 1310975972

Least Common Multiple (LCM) of 51196 and 51214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51196 and 51214. First we will calculate the prime factors of 51196 and 51214.

Prime Factorization of 51196

Prime Factorization of 51214

Now multiplying the highest exponent prime factors to calculate the LCM of 51196 and 51214.

LCM(51196,51214) = 2² × 12799¹ × 29¹ × 883¹
LCM(51196,51214) = 1310975972