What is the Least Common Multiple of 11540 and 11554?

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 11540 and 11554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11540 and 11554, than apply into the LCM equation.

GCF(11540,11554) = 2
LCM(11540,11554) = ( 11540 × 11554) / 2
LCM(11540,11554) = 133333160 / 2
LCM(11540,11554) = 66666580

Least Common Multiple (LCM) of 11540 and 11554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11540 and 11554. First we will calculate the prime factors of 11540 and 11554.

Prime Factorization of 11540

Prime Factorization of 11554

Now multiplying the highest exponent prime factors to calculate the LCM of 11540 and 11554.

LCM(11540,11554) = 2² × 5¹ × 577¹ × 53¹ × 109¹
LCM(11540,11554) = 66666580