What is the Least Common Multiple of 11766 and 11782?

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 11766 and 11782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11766 and 11782, than apply into the LCM equation.

GCF(11766,11782) = 2
LCM(11766,11782) = ( 11766 × 11782) / 2
LCM(11766,11782) = 138627012 / 2
LCM(11766,11782) = 69313506

Least Common Multiple (LCM) of 11766 and 11782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11766 and 11782. First we will calculate the prime factors of 11766 and 11782.

Prime Factorization of 11766

Prime Factorization of 11782

Now multiplying the highest exponent prime factors to calculate the LCM of 11766 and 11782.

LCM(11766,11782) = 2¹ × 3¹ × 37¹ × 53¹ × 43¹ × 137¹
LCM(11766,11782) = 69313506