What is the Least Common Multiple of 11968 and 11987?

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 11968 and 11987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11968 and 11987, than apply into the LCM equation.

GCF(11968,11987) = 1
LCM(11968,11987) = ( 11968 × 11987) / 1
LCM(11968,11987) = 143460416 / 1
LCM(11968,11987) = 143460416

Least Common Multiple (LCM) of 11968 and 11987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11968 and 11987. First we will calculate the prime factors of 11968 and 11987.

Prime Factorization of 11968

Prime Factorization of 11987

Now multiplying the highest exponent prime factors to calculate the LCM of 11968 and 11987.

LCM(11968,11987) = 2⁶ × 11¹ × 17¹ × 11987¹
LCM(11968,11987) = 143460416