What is the Least Common Multiple of 11389 and 11408?

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 11389 and 11408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11389 and 11408, than apply into the LCM equation.

GCF(11389,11408) = 1
LCM(11389,11408) = ( 11389 × 11408) / 1
LCM(11389,11408) = 129925712 / 1
LCM(11389,11408) = 129925712

Least Common Multiple (LCM) of 11389 and 11408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11389 and 11408. First we will calculate the prime factors of 11389 and 11408.

Prime Factorization of 11389

Prime Factorization of 11408

Now multiplying the highest exponent prime factors to calculate the LCM of 11389 and 11408.

LCM(11389,11408) = 7¹ × 1627¹ × 2⁴ × 23¹ × 31¹
LCM(11389,11408) = 129925712