What is the Least Common Multiple of 51458 and 51471?

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 51458 and 51471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51458 and 51471, than apply into the LCM equation.

GCF(51458,51471) = 1
LCM(51458,51471) = ( 51458 × 51471) / 1
LCM(51458,51471) = 2648594718 / 1
LCM(51458,51471) = 2648594718

Least Common Multiple (LCM) of 51458 and 51471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51458 and 51471. First we will calculate the prime factors of 51458 and 51471.

Prime Factorization of 51458

Prime Factorization of 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 51458 and 51471.

LCM(51458,51471) = 2¹ × 11¹ × 2339¹ × 3² × 7¹ × 19¹ × 43¹
LCM(51458,51471) = 2648594718