What is the Least Common Multiple of 11460 and 11475?

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 11460 and 11475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11460 and 11475, than apply into the LCM equation.

GCF(11460,11475) = 15
LCM(11460,11475) = ( 11460 × 11475) / 15
LCM(11460,11475) = 131503500 / 15
LCM(11460,11475) = 8766900

Least Common Multiple (LCM) of 11460 and 11475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11460 and 11475. First we will calculate the prime factors of 11460 and 11475.

Prime Factorization of 11460

Prime Factorization of 11475

Now multiplying the highest exponent prime factors to calculate the LCM of 11460 and 11475.

LCM(11460,11475) = 2² × 3³ × 5² × 191¹ × 17¹
LCM(11460,11475) = 8766900