What is the Least Common Multiple of 35301 and 35313?

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 35301 and 35313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35301 and 35313, than apply into the LCM equation.

GCF(35301,35313) = 3
LCM(35301,35313) = ( 35301 × 35313) / 3
LCM(35301,35313) = 1246584213 / 3
LCM(35301,35313) = 415528071

Least Common Multiple (LCM) of 35301 and 35313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35301 and 35313. First we will calculate the prime factors of 35301 and 35313.

Prime Factorization of 35301

Prime Factorization of 35313

Now multiplying the highest exponent prime factors to calculate the LCM of 35301 and 35313.

LCM(35301,35313) = 3¹ × 7¹ × 41² × 79¹ × 149¹
LCM(35301,35313) = 415528071