What is the Least Common Multiple of 10408 and 10417?

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 10408 and 10417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10408 and 10417, than apply into the LCM equation.

GCF(10408,10417) = 1
LCM(10408,10417) = ( 10408 × 10417) / 1
LCM(10408,10417) = 108420136 / 1
LCM(10408,10417) = 108420136

Least Common Multiple (LCM) of 10408 and 10417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10408 and 10417. First we will calculate the prime factors of 10408 and 10417.

Prime Factorization of 10408

Prime Factorization of 10417

Now multiplying the highest exponent prime factors to calculate the LCM of 10408 and 10417.

LCM(10408,10417) = 2³ × 1301¹ × 11¹ × 947¹
LCM(10408,10417) = 108420136