What is the Least Common Multiple of 41301 and 41314?

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 41301 and 41314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41301 and 41314, than apply into the LCM equation.

GCF(41301,41314) = 13
LCM(41301,41314) = ( 41301 × 41314) / 13
LCM(41301,41314) = 1706309514 / 13
LCM(41301,41314) = 131254578

Least Common Multiple (LCM) of 41301 and 41314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41301 and 41314. First we will calculate the prime factors of 41301 and 41314.

Prime Factorization of 41301

Prime Factorization of 41314

Now multiplying the highest exponent prime factors to calculate the LCM of 41301 and 41314.

LCM(41301,41314) = 3² × 13¹ × 353¹ × 2¹ × 7¹ × 227¹
LCM(41301,41314) = 131254578