What is the Least Common Multiple of 51214 and 51230?

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 51214 and 51230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51214 and 51230, than apply into the LCM equation.

GCF(51214,51230) = 2
LCM(51214,51230) = ( 51214 × 51230) / 2
LCM(51214,51230) = 2623693220 / 2
LCM(51214,51230) = 1311846610

Least Common Multiple (LCM) of 51214 and 51230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51214 and 51230. First we will calculate the prime factors of 51214 and 51230.

Prime Factorization of 51214

Prime Factorization of 51230

Now multiplying the highest exponent prime factors to calculate the LCM of 51214 and 51230.

LCM(51214,51230) = 2¹ × 29¹ × 883¹ × 5¹ × 47¹ × 109¹
LCM(51214,51230) = 1311846610