What is the Least Common Multiple of 11967 and 11974?

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 11967 and 11974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11967 and 11974, than apply into the LCM equation.

GCF(11967,11974) = 1
LCM(11967,11974) = ( 11967 × 11974) / 1
LCM(11967,11974) = 143292858 / 1
LCM(11967,11974) = 143292858

Least Common Multiple (LCM) of 11967 and 11974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11967 and 11974. First we will calculate the prime factors of 11967 and 11974.

Prime Factorization of 11967

Prime Factorization of 11974

Now multiplying the highest exponent prime factors to calculate the LCM of 11967 and 11974.

LCM(11967,11974) = 3¹ × 3989¹ × 2¹ × 5987¹
LCM(11967,11974) = 143292858