What is the Least Common Multiple of 31409 and 31417?

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 31417 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 31417, than apply into the LCM equation.

GCF(31409,31417) = 1
LCM(31409,31417) = ( 31409 × 31417) / 1
LCM(31409,31417) = 986776553 / 1
LCM(31409,31417) = 986776553

Least Common Multiple (LCM) of 31409 and 31417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31409 and 31417. First we will calculate the prime factors of 31409 and 31417.

Prime Factorization of 31409

Prime Factorization of 31417

Now multiplying the highest exponent prime factors to calculate the LCM of 31409 and 31417.

LCM(31409,31417) = 7² × 641¹ × 89¹ × 353¹
LCM(31409,31417) = 986776553