What is the Least Common Multiple of 11958 and 11969?

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 11958 and 11969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11958 and 11969, than apply into the LCM equation.

GCF(11958,11969) = 1
LCM(11958,11969) = ( 11958 × 11969) / 1
LCM(11958,11969) = 143125302 / 1
LCM(11958,11969) = 143125302

Least Common Multiple (LCM) of 11958 and 11969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11958 and 11969. First we will calculate the prime factors of 11958 and 11969.

Prime Factorization of 11958

Prime Factorization of 11969

Now multiplying the highest exponent prime factors to calculate the LCM of 11958 and 11969.

LCM(11958,11969) = 2¹ × 3¹ × 1993¹ × 11969¹
LCM(11958,11969) = 143125302