What is the Least Common Multiple of 31409 and 31418?

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 31409 and 31418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31409 and 31418, than apply into the LCM equation.

GCF(31409,31418) = 1
LCM(31409,31418) = ( 31409 × 31418) / 1
LCM(31409,31418) = 986807962 / 1
LCM(31409,31418) = 986807962

Least Common Multiple (LCM) of 31409 and 31418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31409 and 31418. First we will calculate the prime factors of 31409 and 31418.

Prime Factorization of 31409

Prime Factorization of 31418

Now multiplying the highest exponent prime factors to calculate the LCM of 31409 and 31418.

LCM(31409,31418) = 7² × 641¹ × 2¹ × 23¹ × 683¹
LCM(31409,31418) = 986807962