What is the Least Common Multiple of 55239 and 55247?

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 55239 and 55247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55239 and 55247, than apply into the LCM equation.

GCF(55239,55247) = 1
LCM(55239,55247) = ( 55239 × 55247) / 1
LCM(55239,55247) = 3051789033 / 1
LCM(55239,55247) = 3051789033

Least Common Multiple (LCM) of 55239 and 55247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55239 and 55247. First we will calculate the prime factors of 55239 and 55247.

Prime Factorization of 55239

Prime Factorization of 55247

Now multiplying the highest exponent prime factors to calculate the LCM of 55239 and 55247.

LCM(55239,55247) = 3¹ × 18413¹ × 101¹ × 547¹
LCM(55239,55247) = 3051789033