What is the Least Common Multiple of 11782 and 11797?

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 11782 and 11797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11782 and 11797, than apply into the LCM equation.

GCF(11782,11797) = 1
LCM(11782,11797) = ( 11782 × 11797) / 1
LCM(11782,11797) = 138992254 / 1
LCM(11782,11797) = 138992254

Least Common Multiple (LCM) of 11782 and 11797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11782 and 11797. First we will calculate the prime factors of 11782 and 11797.

Prime Factorization of 11782

Prime Factorization of 11797

Now multiplying the highest exponent prime factors to calculate the LCM of 11782 and 11797.

LCM(11782,11797) = 2¹ × 43¹ × 137¹ × 47¹ × 251¹
LCM(11782,11797) = 138992254