What is the Least Common Multiple of 55303 and 55315?

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 55303 and 55315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55303 and 55315, than apply into the LCM equation.

GCF(55303,55315) = 1
LCM(55303,55315) = ( 55303 × 55315) / 1
LCM(55303,55315) = 3059085445 / 1
LCM(55303,55315) = 3059085445

Least Common Multiple (LCM) of 55303 and 55315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55303 and 55315. First we will calculate the prime factors of 55303 and 55315.

Prime Factorization of 55303

Prime Factorization of 55315

Now multiplying the highest exponent prime factors to calculate the LCM of 55303 and 55315.

LCM(55303,55315) = 29¹ × 1907¹ × 5¹ × 13¹ × 23¹ × 37¹
LCM(55303,55315) = 3059085445