What is the Least Common Multiple of 11430 and 11445?

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 11430 and 11445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11430 and 11445, than apply into the LCM equation.

GCF(11430,11445) = 15
LCM(11430,11445) = ( 11430 × 11445) / 15
LCM(11430,11445) = 130816350 / 15
LCM(11430,11445) = 8721090

Least Common Multiple (LCM) of 11430 and 11445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11430 and 11445. First we will calculate the prime factors of 11430 and 11445.

Prime Factorization of 11430

Prime Factorization of 11445

Now multiplying the highest exponent prime factors to calculate the LCM of 11430 and 11445.

LCM(11430,11445) = 2¹ × 3² × 5¹ × 127¹ × 7¹ × 109¹
LCM(11430,11445) = 8721090