What is the Least Common Multiple of 54297 and 54301?

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 54297 and 54301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54297 and 54301, than apply into the LCM equation.

GCF(54297,54301) = 1
LCM(54297,54301) = ( 54297 × 54301) / 1
LCM(54297,54301) = 2948381397 / 1
LCM(54297,54301) = 2948381397

Least Common Multiple (LCM) of 54297 and 54301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54297 and 54301. First we will calculate the prime factors of 54297 and 54301.

Prime Factorization of 54297

Prime Factorization of 54301

Now multiplying the highest exponent prime factors to calculate the LCM of 54297 and 54301.

LCM(54297,54301) = 3³ × 2011¹ × 13¹ × 4177¹
LCM(54297,54301) = 2948381397