What is the Least Common Multiple of 11480 and 11485?

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 11480 and 11485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11480 and 11485, than apply into the LCM equation.

GCF(11480,11485) = 5
LCM(11480,11485) = ( 11480 × 11485) / 5
LCM(11480,11485) = 131847800 / 5
LCM(11480,11485) = 26369560

Least Common Multiple (LCM) of 11480 and 11485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11480 and 11485. First we will calculate the prime factors of 11480 and 11485.

Prime Factorization of 11480

Prime Factorization of 11485

Now multiplying the highest exponent prime factors to calculate the LCM of 11480 and 11485.

LCM(11480,11485) = 2³ × 5¹ × 7¹ × 41¹ × 2297¹
LCM(11480,11485) = 26369560