What is the Least Common Multiple of 11480 and 11497?

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 11497 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 11497, than apply into the LCM equation.

GCF(11480,11497) = 1
LCM(11480,11497) = ( 11480 × 11497) / 1
LCM(11480,11497) = 131985560 / 1
LCM(11480,11497) = 131985560

Least Common Multiple (LCM) of 11480 and 11497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11480 and 11497. First we will calculate the prime factors of 11480 and 11497.

Prime Factorization of 11480

Prime Factorization of 11497

Now multiplying the highest exponent prime factors to calculate the LCM of 11480 and 11497.

LCM(11480,11497) = 2³ × 5¹ × 7¹ × 41¹ × 11497¹
LCM(11480,11497) = 131985560