What is the Least Common Multiple of 41309 and 41319?

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 41309 and 41319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41309 and 41319, than apply into the LCM equation.

GCF(41309,41319) = 1
LCM(41309,41319) = ( 41309 × 41319) / 1
LCM(41309,41319) = 1706846571 / 1
LCM(41309,41319) = 1706846571

Least Common Multiple (LCM) of 41309 and 41319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41309 and 41319. First we will calculate the prime factors of 41309 and 41319.

Prime Factorization of 41309

Prime Factorization of 41319

Now multiplying the highest exponent prime factors to calculate the LCM of 41309 and 41319.

LCM(41309,41319) = 101¹ × 409¹ × 3² × 4591¹
LCM(41309,41319) = 1706846571