What is the Least Common Multiple of 97903 and 97913?

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 97903 and 97913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97903 and 97913, than apply into the LCM equation.

GCF(97903,97913) = 1
LCM(97903,97913) = ( 97903 × 97913) / 1
LCM(97903,97913) = 9585976439 / 1
LCM(97903,97913) = 9585976439

Least Common Multiple (LCM) of 97903 and 97913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97903 and 97913. First we will calculate the prime factors of 97903 and 97913.

Prime Factorization of 97903

Prime Factorization of 97913

Now multiplying the highest exponent prime factors to calculate the LCM of 97903 and 97913.

LCM(97903,97913) = 13¹ × 17¹ × 443¹ × 179¹ × 547¹
LCM(97903,97913) = 9585976439