What is the Least Common Multiple of 51784 and 51794?

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 51784 and 51794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51784 and 51794, than apply into the LCM equation.

GCF(51784,51794) = 2
LCM(51784,51794) = ( 51784 × 51794) / 2
LCM(51784,51794) = 2682100496 / 2
LCM(51784,51794) = 1341050248

Least Common Multiple (LCM) of 51784 and 51794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51784 and 51794. First we will calculate the prime factors of 51784 and 51794.

Prime Factorization of 51784

Prime Factorization of 51794

Now multiplying the highest exponent prime factors to calculate the LCM of 51784 and 51794.

LCM(51784,51794) = 2³ × 6473¹ × 19¹ × 29¹ × 47¹
LCM(51784,51794) = 1341050248