What is the Least Common Multiple of 11960 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 11960 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 11960 and 11974, than apply into the LCM equation.

GCF(11960,11974) = 2
LCM(11960,11974) = ( 11960 × 11974) / 2
LCM(11960,11974) = 143209040 / 2
LCM(11960,11974) = 71604520

Least Common Multiple (LCM) of 11960 and 11974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11960 and 11974. First we will calculate the prime factors of 11960 and 11974.

Prime Factorization of 11960

Prime Factorization of 11974

Now multiplying the highest exponent prime factors to calculate the LCM of 11960 and 11974.

LCM(11960,11974) = 2³ × 5¹ × 13¹ × 23¹ × 5987¹
LCM(11960,11974) = 71604520