What is the Least Common Multiple of 11417 and 11430?

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 11417 and 11430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11417 and 11430, than apply into the LCM equation.

GCF(11417,11430) = 1
LCM(11417,11430) = ( 11417 × 11430) / 1
LCM(11417,11430) = 130496310 / 1
LCM(11417,11430) = 130496310

Least Common Multiple (LCM) of 11417 and 11430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11417 and 11430. First we will calculate the prime factors of 11417 and 11430.

Prime Factorization of 11417

Prime Factorization of 11430

Now multiplying the highest exponent prime factors to calculate the LCM of 11417 and 11430.

LCM(11417,11430) = 7² × 233¹ × 2¹ × 3² × 5¹ × 127¹
LCM(11417,11430) = 130496310