What is the Least Common Multiple of 11750 and 11762?

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 11750 and 11762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11750 and 11762, than apply into the LCM equation.

GCF(11750,11762) = 2
LCM(11750,11762) = ( 11750 × 11762) / 2
LCM(11750,11762) = 138203500 / 2
LCM(11750,11762) = 69101750

Least Common Multiple (LCM) of 11750 and 11762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11750 and 11762. First we will calculate the prime factors of 11750 and 11762.

Prime Factorization of 11750

Prime Factorization of 11762

Now multiplying the highest exponent prime factors to calculate the LCM of 11750 and 11762.

LCM(11750,11762) = 2¹ × 5³ × 47¹ × 5881¹
LCM(11750,11762) = 69101750