What is the Least Common Multiple of 11766 and 11783?

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 11783 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 11783, than apply into the LCM equation.

GCF(11766,11783) = 1
LCM(11766,11783) = ( 11766 × 11783) / 1
LCM(11766,11783) = 138638778 / 1
LCM(11766,11783) = 138638778

Least Common Multiple (LCM) of 11766 and 11783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11766 and 11783. First we will calculate the prime factors of 11766 and 11783.

Prime Factorization of 11766

Prime Factorization of 11783

Now multiplying the highest exponent prime factors to calculate the LCM of 11766 and 11783.

LCM(11766,11783) = 2¹ × 3¹ × 37¹ × 53¹ × 11783¹
LCM(11766,11783) = 138638778