What is the Least Common Multiple of 51254 and 51262?

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 51254 and 51262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51254 and 51262, than apply into the LCM equation.

GCF(51254,51262) = 2
LCM(51254,51262) = ( 51254 × 51262) / 2
LCM(51254,51262) = 2627382548 / 2
LCM(51254,51262) = 1313691274

Least Common Multiple (LCM) of 51254 and 51262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51254 and 51262. First we will calculate the prime factors of 51254 and 51262.

Prime Factorization of 51254

Prime Factorization of 51262

Now multiplying the highest exponent prime factors to calculate the LCM of 51254 and 51262.

LCM(51254,51262) = 2¹ × 7² × 523¹ × 19² × 71¹
LCM(51254,51262) = 1313691274