What is the Least Common Multiple of 11745 and 11759?

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 11745 and 11759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11745 and 11759, than apply into the LCM equation.

GCF(11745,11759) = 1
LCM(11745,11759) = ( 11745 × 11759) / 1
LCM(11745,11759) = 138109455 / 1
LCM(11745,11759) = 138109455

Least Common Multiple (LCM) of 11745 and 11759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11745 and 11759. First we will calculate the prime factors of 11745 and 11759.

Prime Factorization of 11745

Prime Factorization of 11759

Now multiplying the highest exponent prime factors to calculate the LCM of 11745 and 11759.

LCM(11745,11759) = 3⁴ × 5¹ × 29¹ × 11¹ × 1069¹
LCM(11745,11759) = 138109455