What is the Least Common Multiple of 11501 and 11508?

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 11501 and 11508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11501 and 11508, than apply into the LCM equation.

GCF(11501,11508) = 7
LCM(11501,11508) = ( 11501 × 11508) / 7
LCM(11501,11508) = 132353508 / 7
LCM(11501,11508) = 18907644

Least Common Multiple (LCM) of 11501 and 11508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11501 and 11508. First we will calculate the prime factors of 11501 and 11508.

Prime Factorization of 11501

Prime Factorization of 11508

Now multiplying the highest exponent prime factors to calculate the LCM of 11501 and 11508.

LCM(11501,11508) = 7¹ × 31¹ × 53¹ × 2² × 3¹ × 137¹
LCM(11501,11508) = 18907644