What is the Least Common Multiple of 53297 and 53313?

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 53297 and 53313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53297 and 53313, than apply into the LCM equation.

GCF(53297,53313) = 1
LCM(53297,53313) = ( 53297 × 53313) / 1
LCM(53297,53313) = 2841422961 / 1
LCM(53297,53313) = 2841422961

Least Common Multiple (LCM) of 53297 and 53313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53297 and 53313. First we will calculate the prime factors of 53297 and 53313.

Prime Factorization of 53297

Prime Factorization of 53313

Now multiplying the highest exponent prime factors to calculate the LCM of 53297 and 53313.

LCM(53297,53313) = 223¹ × 239¹ × 3¹ × 13¹ × 1367¹
LCM(53297,53313) = 2841422961