What is the Least Common Multiple of 54917 and 54929?

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 54917 and 54929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54917 and 54929, than apply into the LCM equation.

GCF(54917,54929) = 1
LCM(54917,54929) = ( 54917 × 54929) / 1
LCM(54917,54929) = 3016535893 / 1
LCM(54917,54929) = 3016535893

Least Common Multiple (LCM) of 54917 and 54929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54917 and 54929. First we will calculate the prime factors of 54917 and 54929.

Prime Factorization of 54917

Prime Factorization of 54929

Now multiplying the highest exponent prime factors to calculate the LCM of 54917 and 54929.

LCM(54917,54929) = 54917¹ × 7² × 19¹ × 59¹
LCM(54917,54929) = 3016535893