What is the Least Common Multiple of 31405 and 31419?

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 31405 and 31419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31405 and 31419, than apply into the LCM equation.

GCF(31405,31419) = 1
LCM(31405,31419) = ( 31405 × 31419) / 1
LCM(31405,31419) = 986713695 / 1
LCM(31405,31419) = 986713695

Least Common Multiple (LCM) of 31405 and 31419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31405 and 31419. First we will calculate the prime factors of 31405 and 31419.

Prime Factorization of 31405

Prime Factorization of 31419

Now multiplying the highest exponent prime factors to calculate the LCM of 31405 and 31419.

LCM(31405,31419) = 5¹ × 11¹ × 571¹ × 3² × 3491¹
LCM(31405,31419) = 986713695